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Finding the Third Proportional to 461,167 and 1,013,129

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Solution

The third proportional to 461,167 and 1,013,129 is: 2,225,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,167 : 1,013,129 = 1,013,129 : x
  2. Step 2: Convert to fraction form
    461,167/1,013,129 = 1,013,129/x
  3. Step 3: Cross multiply
    461,167x = 1,013,129 × 1,013,129
  4. Step 4: Simplify right side
    461,167x = 1,026,430,370,641
  5. Step 5: Solve for x
    x = 1,026,430,370,641/461,167
  6. Step 6: Final answer
    x = 2,225,723.81

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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.