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Finding the Third Proportional to 924,474 and 1,420,353

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Solution

The third proportional to 924,474 and 1,420,353 is: 2,182,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,474 : 1,420,353 = 1,420,353 : x
  2. Step 2: Convert to fraction form
    924,474/1,420,353 = 1,420,353/x
  3. Step 3: Cross multiply
    924,474x = 1,420,353 × 1,420,353
  4. Step 4: Simplify right side
    924,474x = 2,017,402,644,609
  5. Step 5: Solve for x
    x = 2,017,402,644,609/924,474
  6. Step 6: Final answer
    x = 2,182,216.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.