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Finding the Third Proportional to 1,304,862 and 1,906,941

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Solution

The third proportional to 1,304,862 and 1,906,941 is: 2,786,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,862 : 1,906,941 = 1,906,941 : x
  2. Step 2: Convert to fraction form
    1,304,862/1,906,941 = 1,906,941/x
  3. Step 3: Cross multiply
    1,304,862x = 1,906,941 × 1,906,941
  4. Step 4: Simplify right side
    1,304,862x = 3,636,423,977,481
  5. Step 5: Solve for x
    x = 3,636,423,977,481/1,304,862
  6. Step 6: Final answer
    x = 2,786,826.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.