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Finding the Third Proportional to 657,944 and 1,415,680

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Solution

The third proportional to 657,944 and 1,415,680 is: 3,046,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,944 : 1,415,680 = 1,415,680 : x
  2. Step 2: Convert to fraction form
    657,944/1,415,680 = 1,415,680/x
  3. Step 3: Cross multiply
    657,944x = 1,415,680 × 1,415,680
  4. Step 4: Simplify right side
    657,944x = 2,004,149,862,400
  5. Step 5: Solve for x
    x = 2,004,149,862,400/657,944
  6. Step 6: Final answer
    x = 3,046,079.70

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