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Finding the Third Proportional to 612,856.13 and 951,157.69

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Solution

The third proportional to 612,856.13 and 951,157.69 is: 1,476,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,856.13 : 951,157.69 = 951,157.69 : x
  2. Step 2: Convert to fraction form
    612,856.13/951,157.69 = 951,157.69/x
  3. Step 3: Cross multiply
    612,856.13x = 951,157.69 × 951,157.69
  4. Step 4: Simplify right side
    612,856.13x = 904,700,946,490.35
  5. Step 5: Solve for x
    x = 904,700,946,490.35/612,856.13
  6. Step 6: Final answer
    x = 1,476,204.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.