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Finding the Third Proportional to 997,497 and 2,065,950

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Solution

The third proportional to 997,497 and 2,065,950 is: 4,278,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,497 : 2,065,950 = 2,065,950 : x
  2. Step 2: Convert to fraction form
    997,497/2,065,950 = 2,065,950/x
  3. Step 3: Cross multiply
    997,497x = 2,065,950 × 2,065,950
  4. Step 4: Simplify right side
    997,497x = 4,268,149,402,500
  5. Step 5: Solve for x
    x = 4,268,149,402,500/997,497
  6. Step 6: Final answer
    x = 4,278,859.39

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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.