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Finding the Third Proportional to 1,294,197.12 and 2,787,069.52

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Solution

The third proportional to 1,294,197.12 and 2,787,069.52 is: 6,001,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,197.12 : 2,787,069.52 = 2,787,069.52 : x
  2. Step 2: Convert to fraction form
    1,294,197.12/2,787,069.52 = 2,787,069.52/x
  3. Step 3: Cross multiply
    1,294,197.12x = 2,787,069.52 × 2,787,069.52
  4. Step 4: Simplify right side
    1,294,197.12x = 7,767,756,484,926.17
  5. Step 5: Solve for x
    x = 7,767,756,484,926.17/1,294,197.12
  6. Step 6: Final answer
    x = 6,001,988.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.