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Finding the Third Proportional to 1,246,378.64 and 2,711,135.81

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Solution

The third proportional to 1,246,378.64 and 2,711,135.81 is: 5,897,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,378.64 : 2,711,135.81 = 2,711,135.81 : x
  2. Step 2: Convert to fraction form
    1,246,378.64/2,711,135.81 = 2,711,135.81/x
  3. Step 3: Cross multiply
    1,246,378.64x = 2,711,135.81 × 2,711,135.81
  4. Step 4: Simplify right side
    1,246,378.64x = 7,350,257,393,820.04
  5. Step 5: Solve for x
    x = 7,350,257,393,820.04/1,246,378.64
  6. Step 6: Final answer
    x = 5,897,290.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.