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Finding the Third Proportional to 701,826.75 and 1,115,730

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Solution

The third proportional to 701,826.75 and 1,115,730 is: 1,773,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,826.75 : 1,115,730 = 1,115,730 : x
  2. Step 2: Convert to fraction form
    701,826.75/1,115,730 = 1,115,730/x
  3. Step 3: Cross multiply
    701,826.75x = 1,115,730 × 1,115,730
  4. Step 4: Simplify right side
    701,826.75x = 1,244,853,432,900
  5. Step 5: Solve for x
    x = 1,244,853,432,900/701,826.75
  6. Step 6: Final answer
    x = 1,773,733.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.