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Finding the Third Proportional to 781,689 and 1,713,012

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Solution

The third proportional to 781,689 and 1,713,012 is: 3,753,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,689 : 1,713,012 = 1,713,012 : x
  2. Step 2: Convert to fraction form
    781,689/1,713,012 = 1,713,012/x
  3. Step 3: Cross multiply
    781,689x = 1,713,012 × 1,713,012
  4. Step 4: Simplify right side
    781,689x = 2,934,410,112,144
  5. Step 5: Solve for x
    x = 2,934,410,112,144/781,689
  6. Step 6: Final answer
    x = 3,753,935.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.