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Finding the Third Proportional to 560,982 and 1,223,340

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Solution

The third proportional to 560,982 and 1,223,340 is: 2,667,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,982 : 1,223,340 = 1,223,340 : x
  2. Step 2: Convert to fraction form
    560,982/1,223,340 = 1,223,340/x
  3. Step 3: Cross multiply
    560,982x = 1,223,340 × 1,223,340
  4. Step 4: Simplify right side
    560,982x = 1,496,560,755,600
  5. Step 5: Solve for x
    x = 1,496,560,755,600/560,982
  6. Step 6: Final answer
    x = 2,667,751.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.