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Finding the Third Proportional to 2,050,716 and 4,416,981

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Solution

The third proportional to 2,050,716 and 4,416,981 is: 9,513,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,716 : 4,416,981 = 4,416,981 : x
  2. Step 2: Convert to fraction form
    2,050,716/4,416,981 = 4,416,981/x
  3. Step 3: Cross multiply
    2,050,716x = 4,416,981 × 4,416,981
  4. Step 4: Simplify right side
    2,050,716x = 19,509,721,154,361
  5. Step 5: Solve for x
    x = 19,509,721,154,361/2,050,716
  6. Step 6: Final answer
    x = 9,513,614.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.