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Finding the Third Proportional to 1,614,357 and 3,543,593

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Solution

The third proportional to 1,614,357 and 3,543,593 is: 7,778,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,357 : 3,543,593 = 3,543,593 : x
  2. Step 2: Convert to fraction form
    1,614,357/3,543,593 = 3,543,593/x
  3. Step 3: Cross multiply
    1,614,357x = 3,543,593 × 3,543,593
  4. Step 4: Simplify right side
    1,614,357x = 12,557,051,349,649
  5. Step 5: Solve for x
    x = 12,557,051,349,649/1,614,357
  6. Step 6: Final answer
    x = 7,778,360.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.