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Finding the Third Proportional to 616,596 and 1,344,952

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Solution

The third proportional to 616,596 and 1,344,952 is: 2,933,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,596 : 1,344,952 = 1,344,952 : x
  2. Step 2: Convert to fraction form
    616,596/1,344,952 = 1,344,952/x
  3. Step 3: Cross multiply
    616,596x = 1,344,952 × 1,344,952
  4. Step 4: Simplify right side
    616,596x = 1,808,895,882,304
  5. Step 5: Solve for x
    x = 1,808,895,882,304/616,596
  6. Step 6: Final answer
    x = 2,933,680.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.