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Finding the Third Proportional to 530,919 and 1,155,150

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Solution

The third proportional to 530,919 and 1,155,150 is: 2,513,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,919 : 1,155,150 = 1,155,150 : x
  2. Step 2: Convert to fraction form
    530,919/1,155,150 = 1,155,150/x
  3. Step 3: Cross multiply
    530,919x = 1,155,150 × 1,155,150
  4. Step 4: Simplify right side
    530,919x = 1,334,371,522,500
  5. Step 5: Solve for x
    x = 1,334,371,522,500/530,919
  6. Step 6: Final answer
    x = 2,513,324.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.