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Finding the Third Proportional to 657,849 and 1,417,209

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Solution

The third proportional to 657,849 and 1,417,209 is: 3,053,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,849 : 1,417,209 = 1,417,209 : x
  2. Step 2: Convert to fraction form
    657,849/1,417,209 = 1,417,209/x
  3. Step 3: Cross multiply
    657,849x = 1,417,209 × 1,417,209
  4. Step 4: Simplify right side
    657,849x = 2,008,481,349,681
  5. Step 5: Solve for x
    x = 2,008,481,349,681/657,849
  6. Step 6: Final answer
    x = 3,053,103.90

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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.