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Finding the Third Proportional to 997,407 and 2,065,761

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Solution

The third proportional to 997,407 and 2,065,761 is: 4,278,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,407 : 2,065,761 = 2,065,761 : x
  2. Step 2: Convert to fraction form
    997,407/2,065,761 = 2,065,761/x
  3. Step 3: Cross multiply
    997,407x = 2,065,761 × 2,065,761
  4. Step 4: Simplify right side
    997,407x = 4,267,368,509,121
  5. Step 5: Solve for x
    x = 4,267,368,509,121/997,407
  6. Step 6: Final answer
    x = 4,278,462.56

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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.