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Finding the Third Proportional to 647,956.13 and 912,063.38

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Solution

The third proportional to 647,956.13 and 912,063.38 is: 1,283,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,956.13 : 912,063.38 = 912,063.38 : x
  2. Step 2: Convert to fraction form
    647,956.13/912,063.38 = 912,063.38/x
  3. Step 3: Cross multiply
    647,956.13x = 912,063.38 × 912,063.38
  4. Step 4: Simplify right side
    647,956.13x = 831,859,600,016.39
  5. Step 5: Solve for x
    x = 831,859,600,016.39/647,956.13
  6. Step 6: Final answer
    x = 1,283,820.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.