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Finding the Third Proportional to 1,406,544 and 2,179,314

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Solution

The third proportional to 1,406,544 and 2,179,314 is: 3,376,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,544 : 2,179,314 = 2,179,314 : x
  2. Step 2: Convert to fraction form
    1,406,544/2,179,314 = 2,179,314/x
  3. Step 3: Cross multiply
    1,406,544x = 2,179,314 × 2,179,314
  4. Step 4: Simplify right side
    1,406,544x = 4,749,409,510,596
  5. Step 5: Solve for x
    x = 4,749,409,510,596/1,406,544
  6. Step 6: Final answer
    x = 3,376,651.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.