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Finding the Third Proportional to 461,515 and 1,001,762

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Solution

The third proportional to 461,515 and 1,001,762 is: 2,174,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,515 : 1,001,762 = 1,001,762 : x
  2. Step 2: Convert to fraction form
    461,515/1,001,762 = 1,001,762/x
  3. Step 3: Cross multiply
    461,515x = 1,001,762 × 1,001,762
  4. Step 4: Simplify right side
    461,515x = 1,003,527,104,644
  5. Step 5: Solve for x
    x = 1,003,527,104,644/461,515
  6. Step 6: Final answer
    x = 2,174,419.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.