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Finding the Third Proportional to 896,780,964.38 and 1,262,314,909.69

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Solution

The third proportional to 896,780,964.38 and 1,262,314,909.69 is: 1,776,842,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,780,964.38 : 1,262,314,909.69 = 1,262,314,909.69 : x
  2. Step 2: Convert to fraction form
    896,780,964.38/1,262,314,909.69 = 1,262,314,909.69/x
  3. Step 3: Cross multiply
    896,780,964.38x = 1,262,314,909.69 × 1,262,314,909.69
  4. Step 4: Simplify right side
    896,780,964.38x = 1,593,438,931,219,361,280
  5. Step 5: Solve for x
    x = 1,593,438,931,219,361,280/896,780,964.38
  6. Step 6: Final answer
    x = 1,776,842,946.63

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