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Finding the Third Proportional to 872,160 and 1,870,410

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Solution

The third proportional to 872,160 and 1,870,410 is: 4,011,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,160 : 1,870,410 = 1,870,410 : x
  2. Step 2: Convert to fraction form
    872,160/1,870,410 = 1,870,410/x
  3. Step 3: Cross multiply
    872,160x = 1,870,410 × 1,870,410
  4. Step 4: Simplify right side
    872,160x = 3,498,433,568,100
  5. Step 5: Solve for x
    x = 3,498,433,568,100/872,160
  6. Step 6: Final answer
    x = 4,011,229.10

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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.