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Finding the Third Proportional to 1,834,421 and 2,642,251

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Solution

The third proportional to 1,834,421 and 2,642,251 is: 3,805,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,421 : 2,642,251 = 2,642,251 : x
  2. Step 2: Convert to fraction form
    1,834,421/2,642,251 = 2,642,251/x
  3. Step 3: Cross multiply
    1,834,421x = 2,642,251 × 2,642,251
  4. Step 4: Simplify right side
    1,834,421x = 6,981,490,347,001
  5. Step 5: Solve for x
    x = 6,981,490,347,001/1,834,421
  6. Step 6: Final answer
    x = 3,805,827.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.