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Finding the Third Proportional to 530,881 and 1,136,493

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Solution

The third proportional to 530,881 and 1,136,493 is: 2,432,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,881 : 1,136,493 = 1,136,493 : x
  2. Step 2: Convert to fraction form
    530,881/1,136,493 = 1,136,493/x
  3. Step 3: Cross multiply
    530,881x = 1,136,493 × 1,136,493
  4. Step 4: Simplify right side
    530,881x = 1,291,616,339,049
  5. Step 5: Solve for x
    x = 1,291,616,339,049/530,881
  6. Step 6: Final answer
    x = 2,432,967.73

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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.