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Finding the Third Proportional to 460,524 and 991,032

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Solution

The third proportional to 460,524 and 991,032 is: 2,132,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,524 : 991,032 = 991,032 : x
  2. Step 2: Convert to fraction form
    460,524/991,032 = 991,032/x
  3. Step 3: Cross multiply
    460,524x = 991,032 × 991,032
  4. Step 4: Simplify right side
    460,524x = 982,144,425,024
  5. Step 5: Solve for x
    x = 982,144,425,024/460,524
  6. Step 6: Final answer
    x = 2,132,667.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.