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Finding the Third Proportional to 1,855,530 and 2,612,943

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Solution

The third proportional to 1,855,530 and 2,612,943 is: 3,679,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855,530 : 2,612,943 = 2,612,943 : x
  2. Step 2: Convert to fraction form
    1,855,530/2,612,943 = 2,612,943/x
  3. Step 3: Cross multiply
    1,855,530x = 2,612,943 × 2,612,943
  4. Step 4: Simplify right side
    1,855,530x = 6,827,471,121,249
  5. Step 5: Solve for x
    x = 6,827,471,121,249/1,855,530
  6. Step 6: Final answer
    x = 3,679,526.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.