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Finding the Third Proportional to 754,624 and 1,644,032

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Solution

The third proportional to 754,624 and 1,644,032 is: 3,581,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,624 : 1,644,032 = 1,644,032 : x
  2. Step 2: Convert to fraction form
    754,624/1,644,032 = 1,644,032/x
  3. Step 3: Cross multiply
    754,624x = 1,644,032 × 1,644,032
  4. Step 4: Simplify right side
    754,624x = 2,702,841,217,024
  5. Step 5: Solve for x
    x = 2,702,841,217,024/754,624
  6. Step 6: Final answer
    x = 3,581,705.88

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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.