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Finding the Third Proportional to 424,131 and 924,471

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Solution

The third proportional to 424,131 and 924,471 is: 2,015,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,131 : 924,471 = 924,471 : x
  2. Step 2: Convert to fraction form
    424,131/924,471 = 924,471/x
  3. Step 3: Cross multiply
    424,131x = 924,471 × 924,471
  4. Step 4: Simplify right side
    424,131x = 854,646,629,841
  5. Step 5: Solve for x
    x = 854,646,629,841/424,131
  6. Step 6: Final answer
    x = 2,015,053.44

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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.