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Finding the Third Proportional to 646,304 and 1,382,464

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Solution

The third proportional to 646,304 and 1,382,464 is: 2,957,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,304 : 1,382,464 = 1,382,464 : x
  2. Step 2: Convert to fraction form
    646,304/1,382,464 = 1,382,464/x
  3. Step 3: Cross multiply
    646,304x = 1,382,464 × 1,382,464
  4. Step 4: Simplify right side
    646,304x = 1,911,206,711,296
  5. Step 5: Solve for x
    x = 1,911,206,711,296/646,304
  6. Step 6: Final answer
    x = 2,957,132.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.