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Finding the Third Proportional to 872,150 and 1,870,380

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Solution

The third proportional to 872,150 and 1,870,380 is: 4,011,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,150 : 1,870,380 = 1,870,380 : x
  2. Step 2: Convert to fraction form
    872,150/1,870,380 = 1,870,380/x
  3. Step 3: Cross multiply
    872,150x = 1,870,380 × 1,870,380
  4. Step 4: Simplify right side
    872,150x = 3,498,321,344,400
  5. Step 5: Solve for x
    x = 3,498,321,344,400/872,150
  6. Step 6: Final answer
    x = 4,011,146.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.