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Finding the Third Proportional to 1,595,114.06 and 2,451,805.69

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Solution

The third proportional to 1,595,114.06 and 2,451,805.69 is: 3,768,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595,114.06 : 2,451,805.69 = 2,451,805.69 : x
  2. Step 2: Convert to fraction form
    1,595,114.06/2,451,805.69 = 2,451,805.69/x
  3. Step 3: Cross multiply
    1,595,114.06x = 2,451,805.69 × 2,451,805.69
  4. Step 4: Simplify right side
    1,595,114.06x = 6,011,351,129,257.35
  5. Step 5: Solve for x
    x = 6,011,351,129,257.35/1,595,114.06
  6. Step 6: Final answer
    x = 3,768,602.68

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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.