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Finding the Third Proportional to 781,306 and 1,673,204

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Solution

The third proportional to 781,306 and 1,673,204 is: 3,583,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,306 : 1,673,204 = 1,673,204 : x
  2. Step 2: Convert to fraction form
    781,306/1,673,204 = 1,673,204/x
  3. Step 3: Cross multiply
    781,306x = 1,673,204 × 1,673,204
  4. Step 4: Simplify right side
    781,306x = 2,799,611,625,616
  5. Step 5: Solve for x
    x = 2,799,611,625,616/781,306
  6. Step 6: Final answer
    x = 3,583,246.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.