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Finding the Third Proportional to 516,221 and 1,107,151

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Solution

The third proportional to 516,221 and 1,107,151 is: 2,374,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,221 : 1,107,151 = 1,107,151 : x
  2. Step 2: Convert to fraction form
    516,221/1,107,151 = 1,107,151/x
  3. Step 3: Cross multiply
    516,221x = 1,107,151 × 1,107,151
  4. Step 4: Simplify right side
    516,221x = 1,225,783,336,801
  5. Step 5: Solve for x
    x = 1,225,783,336,801/516,221
  6. Step 6: Final answer
    x = 2,374,532.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.