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Finding the Third Proportional to 424,982 and 924,734

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Solution

The third proportional to 424,982 and 924,734 is: 2,012,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,982 : 924,734 = 924,734 : x
  2. Step 2: Convert to fraction form
    424,982/924,734 = 924,734/x
  3. Step 3: Cross multiply
    424,982x = 924,734 × 924,734
  4. Step 4: Simplify right side
    424,982x = 855,132,970,756
  5. Step 5: Solve for x
    x = 855,132,970,756/424,982
  6. Step 6: Final answer
    x = 2,012,162.80

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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.