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Finding the Third Proportional to 461,253 and 1,013,311

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Solution

The third proportional to 461,253 and 1,013,311 is: 2,226,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,253 : 1,013,311 = 1,013,311 : x
  2. Step 2: Convert to fraction form
    461,253/1,013,311 = 1,013,311/x
  3. Step 3: Cross multiply
    461,253x = 1,013,311 × 1,013,311
  4. Step 4: Simplify right side
    461,253x = 1,026,799,182,721
  5. Step 5: Solve for x
    x = 1,026,799,182,721/461,253
  6. Step 6: Final answer
    x = 2,226,108.41

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