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Finding the Third Proportional to 461,177 and 1,013,148

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Solution

The third proportional to 461,177 and 1,013,148 is: 2,225,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,177 : 1,013,148 = 1,013,148 : x
  2. Step 2: Convert to fraction form
    461,177/1,013,148 = 1,013,148/x
  3. Step 3: Cross multiply
    461,177x = 1,013,148 × 1,013,148
  4. Step 4: Simplify right side
    461,177x = 1,026,468,869,904
  5. Step 5: Solve for x
    x = 1,026,468,869,904/461,177
  6. Step 6: Final answer
    x = 2,225,759.03

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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.