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Finding the Third Proportional to 1,595,114.19 and 2,451,805.84

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Solution

The third proportional to 1,595,114.19 and 2,451,805.84 is: 3,768,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595,114.19 : 2,451,805.84 = 2,451,805.84 : x
  2. Step 2: Convert to fraction form
    1,595,114.19/2,451,805.84 = 2,451,805.84/x
  3. Step 3: Cross multiply
    1,595,114.19x = 2,451,805.84 × 2,451,805.84
  4. Step 4: Simplify right side
    1,595,114.19x = 6,011,351,895,446.65
  5. Step 5: Solve for x
    x = 6,011,351,895,446.65/1,595,114.19
  6. Step 6: Final answer
    x = 3,768,602.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.