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Finding the Third Proportional to 3,114,804.38 and 4,715,240.34

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Solution

The third proportional to 3,114,804.38 and 4,715,240.34 is: 7,138,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114,804.38 : 4,715,240.34 = 4,715,240.34 : x
  2. Step 2: Convert to fraction form
    3,114,804.38/4,715,240.34 = 4,715,240.34/x
  3. Step 3: Cross multiply
    3,114,804.38x = 4,715,240.34 × 4,715,240.34
  4. Step 4: Simplify right side
    3,114,804.38x = 22,233,491,499,327.62
  5. Step 5: Solve for x
    x = 22,233,491,499,327.62/3,114,804.38
  6. Step 6: Final answer
    x = 7,138,005.74

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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.