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Finding the Third Proportional to 2,807,014.50 and 4,230,478.13

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Solution

The third proportional to 2,807,014.50 and 4,230,478.13 is: 6,375,793.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,014.50 : 4,230,478.13 = 4,230,478.13 : x
  2. Step 2: Convert to fraction form
    2,807,014.50/4,230,478.13 = 4,230,478.13/x
  3. Step 3: Cross multiply
    2,807,014.50x = 4,230,478.13 × 4,230,478.13
  4. Step 4: Simplify right side
    2,807,014.50x = 17,896,945,166,103.52
  5. Step 5: Solve for x
    x = 17,896,945,166,103.52/2,807,014.50
  6. Step 6: Final answer
    x = 6,375,793.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.