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Finding the Third Proportional to 802,354 and 1,762,180

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Solution

The third proportional to 802,354 and 1,762,180 is: 3,870,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,354 : 1,762,180 = 1,762,180 : x
  2. Step 2: Convert to fraction form
    802,354/1,762,180 = 1,762,180/x
  3. Step 3: Cross multiply
    802,354x = 1,762,180 × 1,762,180
  4. Step 4: Simplify right side
    802,354x = 3,105,278,352,400
  5. Step 5: Solve for x
    x = 3,105,278,352,400/802,354
  6. Step 6: Final answer
    x = 3,870,209.85

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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.