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Finding the Third Proportional to 667,722.71 and 1,574,659.22

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Solution

The third proportional to 667,722.71 and 1,574,659.22 is: 3,713,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,722.71 : 1,574,659.22 = 1,574,659.22 : x
  2. Step 2: Convert to fraction form
    667,722.71/1,574,659.22 = 1,574,659.22/x
  3. Step 3: Cross multiply
    667,722.71x = 1,574,659.22 × 1,574,659.22
  4. Step 4: Simplify right side
    667,722.71x = 2,479,551,664,420.92
  5. Step 5: Solve for x
    x = 2,479,551,664,420.92/667,722.71
  6. Step 6: Final answer
    x = 3,713,445.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.