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Finding the Third Proportional to 1,618,922 and 2,375,895

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Solution

The third proportional to 1,618,922 and 2,375,895 is: 3,486,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618,922 : 2,375,895 = 2,375,895 : x
  2. Step 2: Convert to fraction form
    1,618,922/2,375,895 = 2,375,895/x
  3. Step 3: Cross multiply
    1,618,922x = 2,375,895 × 2,375,895
  4. Step 4: Simplify right side
    1,618,922x = 5,644,877,051,025
  5. Step 5: Solve for x
    x = 5,644,877,051,025/1,618,922
  6. Step 6: Final answer
    x = 3,486,812.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.