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Finding the Third Proportional to 426,126 and 932,436

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Solution

The third proportional to 426,126 and 932,436 is: 2,040,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,126 : 932,436 = 932,436 : x
  2. Step 2: Convert to fraction form
    426,126/932,436 = 932,436/x
  3. Step 3: Cross multiply
    426,126x = 932,436 × 932,436
  4. Step 4: Simplify right side
    426,126x = 869,436,894,096
  5. Step 5: Solve for x
    x = 869,436,894,096/426,126
  6. Step 6: Final answer
    x = 2,040,328.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.