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Finding the Third Proportional to 532,150 and 1,143,032

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Solution

The third proportional to 532,150 and 1,143,032 is: 2,455,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,150 : 1,143,032 = 1,143,032 : x
  2. Step 2: Convert to fraction form
    532,150/1,143,032 = 1,143,032/x
  3. Step 3: Cross multiply
    532,150x = 1,143,032 × 1,143,032
  4. Step 4: Simplify right side
    532,150x = 1,306,522,153,024
  5. Step 5: Solve for x
    x = 1,306,522,153,024/532,150
  6. Step 6: Final answer
    x = 2,455,176.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.