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Finding the Third Proportional to 2,477,254.50 and 3,488,541.75

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Solution

The third proportional to 2,477,254.50 and 3,488,541.75 is: 4,912,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,254.50 : 3,488,541.75 = 3,488,541.75 : x
  2. Step 2: Convert to fraction form
    2,477,254.50/3,488,541.75 = 3,488,541.75/x
  3. Step 3: Cross multiply
    2,477,254.50x = 3,488,541.75 × 3,488,541.75
  4. Step 4: Simplify right side
    2,477,254.50x = 12,169,923,541,493.06
  5. Step 5: Solve for x
    x = 12,169,923,541,493.06/2,477,254.50
  6. Step 6: Final answer
    x = 4,912,665.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.