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Finding the Third Proportional to 759,432 and 1,670,448

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Solution

The third proportional to 759,432 and 1,670,448 is: 3,674,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,432 : 1,670,448 = 1,670,448 : x
  2. Step 2: Convert to fraction form
    759,432/1,670,448 = 1,670,448/x
  3. Step 3: Cross multiply
    759,432x = 1,670,448 × 1,670,448
  4. Step 4: Simplify right side
    759,432x = 2,790,396,520,704
  5. Step 5: Solve for x
    x = 2,790,396,520,704/759,432
  6. Step 6: Final answer
    x = 3,674,320.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.