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Finding the Third Proportional to 424,133 and 924,475

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Solution

The third proportional to 424,133 and 924,475 is: 2,015,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,133 : 924,475 = 924,475 : x
  2. Step 2: Convert to fraction form
    424,133/924,475 = 924,475/x
  3. Step 3: Cross multiply
    424,133x = 924,475 × 924,475
  4. Step 4: Simplify right side
    424,133x = 854,654,025,625
  5. Step 5: Solve for x
    x = 854,654,025,625/424,133
  6. Step 6: Final answer
    x = 2,015,061.37

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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.