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Finding the Third Proportional to 2,700,840 and 4,141,182

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Solution

The third proportional to 2,700,840 and 4,141,182 is: 6,349,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700,840 : 4,141,182 = 4,141,182 : x
  2. Step 2: Convert to fraction form
    2,700,840/4,141,182 = 4,141,182/x
  3. Step 3: Cross multiply
    2,700,840x = 4,141,182 × 4,141,182
  4. Step 4: Simplify right side
    2,700,840x = 17,149,388,357,124
  5. Step 5: Solve for x
    x = 17,149,388,357,124/2,700,840
  6. Step 6: Final answer
    x = 6,349,649.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.