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Finding the Third Proportional to 1,065,312 and 2,282,256

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Solution

The third proportional to 1,065,312 and 2,282,256 is: 4,889,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,312 : 2,282,256 = 2,282,256 : x
  2. Step 2: Convert to fraction form
    1,065,312/2,282,256 = 2,282,256/x
  3. Step 3: Cross multiply
    1,065,312x = 2,282,256 × 2,282,256
  4. Step 4: Simplify right side
    1,065,312x = 5,208,692,449,536
  5. Step 5: Solve for x
    x = 5,208,692,449,536/1,065,312
  6. Step 6: Final answer
    x = 4,889,358.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.