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Finding the Third Proportional to 2,173,648.50 and 4,777,569

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Solution

The third proportional to 2,173,648.50 and 4,777,569 is: 10,500,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173,648.50 : 4,777,569 = 4,777,569 : x
  2. Step 2: Convert to fraction form
    2,173,648.50/4,777,569 = 4,777,569/x
  3. Step 3: Cross multiply
    2,173,648.50x = 4,777,569 × 4,777,569
  4. Step 4: Simplify right side
    2,173,648.50x = 22,825,165,549,761
  5. Step 5: Solve for x
    x = 22,825,165,549,761/2,173,648.50
  6. Step 6: Final answer
    x = 10,500,854.00

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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.