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Finding the Third Proportional to 657,894 and 1,367,499

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Solution

The third proportional to 657,894 and 1,367,499 is: 2,842,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,894 : 1,367,499 = 1,367,499 : x
  2. Step 2: Convert to fraction form
    657,894/1,367,499 = 1,367,499/x
  3. Step 3: Cross multiply
    657,894x = 1,367,499 × 1,367,499
  4. Step 4: Simplify right side
    657,894x = 1,870,053,515,001
  5. Step 5: Solve for x
    x = 1,870,053,515,001/657,894
  6. Step 6: Final answer
    x = 2,842,484.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.