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Finding the Third Proportional to 1,292,962.50 and 2,719,919

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Solution

The third proportional to 1,292,962.50 and 2,719,919 is: 5,721,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,962.50 : 2,719,919 = 2,719,919 : x
  2. Step 2: Convert to fraction form
    1,292,962.50/2,719,919 = 2,719,919/x
  3. Step 3: Cross multiply
    1,292,962.50x = 2,719,919 × 2,719,919
  4. Step 4: Simplify right side
    1,292,962.50x = 7,397,959,366,561
  5. Step 5: Solve for x
    x = 7,397,959,366,561/1,292,962.50
  6. Step 6: Final answer
    x = 5,721,712.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.