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Finding the Third Proportional to 667,784.25 and 1,574,784

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Solution

The third proportional to 667,784.25 and 1,574,784 is: 3,713,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,784.25 : 1,574,784 = 1,574,784 : x
  2. Step 2: Convert to fraction form
    667,784.25/1,574,784 = 1,574,784/x
  3. Step 3: Cross multiply
    667,784.25x = 1,574,784 × 1,574,784
  4. Step 4: Simplify right side
    667,784.25x = 2,479,944,646,656
  5. Step 5: Solve for x
    x = 2,479,944,646,656/667,784.25
  6. Step 6: Final answer
    x = 3,713,691.43

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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.