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Finding the Third Proportional to 424,344 and 924,432

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Solution

The third proportional to 424,344 and 924,432 is: 2,013,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,344 : 924,432 = 924,432 : x
  2. Step 2: Convert to fraction form
    424,344/924,432 = 924,432/x
  3. Step 3: Cross multiply
    424,344x = 924,432 × 924,432
  4. Step 4: Simplify right side
    424,344x = 854,574,522,624
  5. Step 5: Solve for x
    x = 854,574,522,624/424,344
  6. Step 6: Final answer
    x = 2,013,872.05

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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.