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Finding the Third Proportional to 970,631 and 2,065,740

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Solution

The third proportional to 970,631 and 2,065,740 is: 4,396,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,631 : 2,065,740 = 2,065,740 : x
  2. Step 2: Convert to fraction form
    970,631/2,065,740 = 2,065,740/x
  3. Step 3: Cross multiply
    970,631x = 2,065,740 × 2,065,740
  4. Step 4: Simplify right side
    970,631x = 4,267,281,747,600
  5. Step 5: Solve for x
    x = 4,267,281,747,600/970,631
  6. Step 6: Final answer
    x = 4,396,399.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.