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Finding the Third Proportional to 657,854 and 1,417,218

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Solution

The third proportional to 657,854 and 1,417,218 is: 3,053,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,854 : 1,417,218 = 1,417,218 : x
  2. Step 2: Convert to fraction form
    657,854/1,417,218 = 1,417,218/x
  3. Step 3: Cross multiply
    657,854x = 1,417,218 × 1,417,218
  4. Step 4: Simplify right side
    657,854x = 2,008,506,859,524
  5. Step 5: Solve for x
    x = 2,008,506,859,524/657,854
  6. Step 6: Final answer
    x = 3,053,119.48

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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.