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Finding the Third Proportional to 870,626.25 and 1,829,380.50

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Solution

The third proportional to 870,626.25 and 1,829,380.50 is: 3,843,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,626.25 : 1,829,380.50 = 1,829,380.50 : x
  2. Step 2: Convert to fraction form
    870,626.25/1,829,380.50 = 1,829,380.50/x
  3. Step 3: Cross multiply
    870,626.25x = 1,829,380.50 × 1,829,380.50
  4. Step 4: Simplify right side
    870,626.25x = 3,346,633,013,780.25
  5. Step 5: Solve for x
    x = 3,346,633,013,780.25/870,626.25
  6. Step 6: Final answer
    x = 3,843,937.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.