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Finding the Third Proportional to 564,146 and 815,151

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Solution

The third proportional to 564,146 and 815,151 is: 1,177,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,146 : 815,151 = 815,151 : x
  2. Step 2: Convert to fraction form
    564,146/815,151 = 815,151/x
  3. Step 3: Cross multiply
    564,146x = 815,151 × 815,151
  4. Step 4: Simplify right side
    564,146x = 664,471,152,801
  5. Step 5: Solve for x
    x = 664,471,152,801/564,146
  6. Step 6: Final answer
    x = 1,177,835.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.