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Finding the Third Proportional to 568,587 and 1,225,743

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Solution

The third proportional to 568,587 and 1,225,743 is: 2,642,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,587 : 1,225,743 = 1,225,743 : x
  2. Step 2: Convert to fraction form
    568,587/1,225,743 = 1,225,743/x
  3. Step 3: Cross multiply
    568,587x = 1,225,743 × 1,225,743
  4. Step 4: Simplify right side
    568,587x = 1,502,445,902,049
  5. Step 5: Solve for x
    x = 1,502,445,902,049/568,587
  6. Step 6: Final answer
    x = 2,642,420.42

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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.