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Finding the Third Proportional to 468,750 and 970,731

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Solution

The third proportional to 468,750 and 970,731 is: 2,010,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,750 : 970,731 = 970,731 : x
  2. Step 2: Convert to fraction form
    468,750/970,731 = 970,731/x
  3. Step 3: Cross multiply
    468,750x = 970,731 × 970,731
  4. Step 4: Simplify right side
    468,750x = 942,318,674,361
  5. Step 5: Solve for x
    x = 942,318,674,361/468,750
  6. Step 6: Final answer
    x = 2,010,279.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.