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Finding the Third Proportional to 657,533 and 1,416,639.25

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Solution

The third proportional to 657,533 and 1,416,639.25 is: 3,052,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,533 : 1,416,639.25 = 1,416,639.25 : x
  2. Step 2: Convert to fraction form
    657,533/1,416,639.25 = 1,416,639.25/x
  3. Step 3: Cross multiply
    657,533x = 1,416,639.25 × 1,416,639.25
  4. Step 4: Simplify right side
    657,533x = 2,006,866,764,640.56
  5. Step 5: Solve for x
    x = 2,006,866,764,640.56/657,533
  6. Step 6: Final answer
    x = 3,052,115.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.