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Finding the Third Proportional to 461,247.75 and 1,013,301

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Solution

The third proportional to 461,247.75 and 1,013,301 is: 2,226,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,247.75 : 1,013,301 = 1,013,301 : x
  2. Step 2: Convert to fraction form
    461,247.75/1,013,301 = 1,013,301/x
  3. Step 3: Cross multiply
    461,247.75x = 1,013,301 × 1,013,301
  4. Step 4: Simplify right side
    461,247.75x = 1,026,778,916,601
  5. Step 5: Solve for x
    x = 1,026,778,916,601/461,247.75
  6. Step 6: Final answer
    x = 2,226,089.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.