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Finding the Third Proportional to 971,777.25 and 2,005,792.88

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Solution

The third proportional to 971,777.25 and 2,005,792.88 is: 4,140,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,777.25 : 2,005,792.88 = 2,005,792.88 : x
  2. Step 2: Convert to fraction form
    971,777.25/2,005,792.88 = 2,005,792.88/x
  3. Step 3: Cross multiply
    971,777.25x = 2,005,792.88 × 2,005,792.88
  4. Step 4: Simplify right side
    971,777.25x = 4,023,205,057,400.77
  5. Step 5: Solve for x
    x = 4,023,205,057,400.77/971,777.25
  6. Step 6: Final answer
    x = 4,140,048.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.