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Finding the Third Proportional to 602,464 and 1,304,107

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Solution

The third proportional to 602,464 and 1,304,107 is: 2,822,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,464 : 1,304,107 = 1,304,107 : x
  2. Step 2: Convert to fraction form
    602,464/1,304,107 = 1,304,107/x
  3. Step 3: Cross multiply
    602,464x = 1,304,107 × 1,304,107
  4. Step 4: Simplify right side
    602,464x = 1,700,695,067,449
  5. Step 5: Solve for x
    x = 1,700,695,067,449/602,464
  6. Step 6: Final answer
    x = 2,822,899.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.