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Finding the Third Proportional to 532,989 and 1,145,034

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Solution

The third proportional to 532,989 and 1,145,034 is: 2,459,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,989 : 1,145,034 = 1,145,034 : x
  2. Step 2: Convert to fraction form
    532,989/1,145,034 = 1,145,034/x
  3. Step 3: Cross multiply
    532,989x = 1,145,034 × 1,145,034
  4. Step 4: Simplify right side
    532,989x = 1,311,102,861,156
  5. Step 5: Solve for x
    x = 1,311,102,861,156/532,989
  6. Step 6: Final answer
    x = 2,459,906.04

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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.