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Finding the Third Proportional to 516,435.75 and 1,118,626.88

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Solution

The third proportional to 516,435.75 and 1,118,626.88 is: 2,423,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,435.75 : 1,118,626.88 = 1,118,626.88 : x
  2. Step 2: Convert to fraction form
    516,435.75/1,118,626.88 = 1,118,626.88/x
  3. Step 3: Cross multiply
    516,435.75x = 1,118,626.88 × 1,118,626.88
  4. Step 4: Simplify right side
    516,435.75x = 1,251,326,085,472.27
  5. Step 5: Solve for x
    x = 1,251,326,085,472.27/516,435.75
  6. Step 6: Final answer
    x = 2,423,004.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.