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Finding the Third Proportional to 2,474,086.46 and 3,830,842.32

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Solution

The third proportional to 2,474,086.46 and 3,830,842.32 is: 5,931,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,086.46 : 3,830,842.32 = 3,830,842.32 : x
  2. Step 2: Convert to fraction form
    2,474,086.46/3,830,842.32 = 3,830,842.32/x
  3. Step 3: Cross multiply
    2,474,086.46x = 3,830,842.32 × 3,830,842.32
  4. Step 4: Simplify right side
    2,474,086.46x = 14,675,352,868,132.46
  5. Step 5: Solve for x
    x = 14,675,352,868,132.46/2,474,086.46
  6. Step 6: Final answer
    x = 5,931,624.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.