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Finding the Third Proportional to 896,780,912.63 and 1,262,314,838.22

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Solution

The third proportional to 896,780,912.63 and 1,262,314,838.22 is: 1,776,842,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,780,912.63 : 1,262,314,838.22 = 1,262,314,838.22 : x
  2. Step 2: Convert to fraction form
    896,780,912.63/1,262,314,838.22 = 1,262,314,838.22/x
  3. Step 3: Cross multiply
    896,780,912.63x = 1,262,314,838.22 × 1,262,314,838.22
  4. Step 4: Simplify right side
    896,780,912.63x = 1,593,438,750,787,355,392
  5. Step 5: Solve for x
    x = 1,593,438,750,787,355,392/896,780,912.63
  6. Step 6: Final answer
    x = 1,776,842,847.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.