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Finding the Third Proportional to 829,247.20 and 1,773,774.28

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Solution

The third proportional to 829,247.20 and 1,773,774.28 is: 3,794,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,247.20 : 1,773,774.28 = 1,773,774.28 : x
  2. Step 2: Convert to fraction form
    829,247.20/1,773,774.28 = 1,773,774.28/x
  3. Step 3: Cross multiply
    829,247.20x = 1,773,774.28 × 1,773,774.28
  4. Step 4: Simplify right side
    829,247.20x = 3,146,275,200,823.95
  5. Step 5: Solve for x
    x = 3,146,275,200,823.95/829,247.20
  6. Step 6: Final answer
    x = 3,794,134.23

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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.