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Finding the Third Proportional to 588,651 and 1,247,424

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Solution

The third proportional to 588,651 and 1,247,424 is: 2,643,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,651 : 1,247,424 = 1,247,424 : x
  2. Step 2: Convert to fraction form
    588,651/1,247,424 = 1,247,424/x
  3. Step 3: Cross multiply
    588,651x = 1,247,424 × 1,247,424
  4. Step 4: Simplify right side
    588,651x = 1,556,066,635,776
  5. Step 5: Solve for x
    x = 1,556,066,635,776/588,651
  6. Step 6: Final answer
    x = 2,643,445.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.