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Finding the Third Proportional to 872,980 and 1,879,448

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Solution

The third proportional to 872,980 and 1,879,448 is: 4,046,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,980 : 1,879,448 = 1,879,448 : x
  2. Step 2: Convert to fraction form
    872,980/1,879,448 = 1,879,448/x
  3. Step 3: Cross multiply
    872,980x = 1,879,448 × 1,879,448
  4. Step 4: Simplify right side
    872,980x = 3,532,324,784,704
  5. Step 5: Solve for x
    x = 3,532,324,784,704/872,980
  6. Step 6: Final answer
    x = 4,046,283.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.