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Finding the Third Proportional to 465,024 and 972,102

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Solution

The third proportional to 465,024 and 972,102 is: 2,032,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,024 : 972,102 = 972,102 : x
  2. Step 2: Convert to fraction form
    465,024/972,102 = 972,102/x
  3. Step 3: Cross multiply
    465,024x = 972,102 × 972,102
  4. Step 4: Simplify right side
    465,024x = 944,982,298,404
  5. Step 5: Solve for x
    x = 944,982,298,404/465,024
  6. Step 6: Final answer
    x = 2,032,115.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.