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Finding the Third Proportional to 1,161,687 and 2,461,828

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Solution

The third proportional to 1,161,687 and 2,461,828 is: 5,217,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,687 : 2,461,828 = 2,461,828 : x
  2. Step 2: Convert to fraction form
    1,161,687/2,461,828 = 2,461,828/x
  3. Step 3: Cross multiply
    1,161,687x = 2,461,828 × 2,461,828
  4. Step 4: Simplify right side
    1,161,687x = 6,060,597,101,584
  5. Step 5: Solve for x
    x = 6,060,597,101,584/1,161,687
  6. Step 6: Final answer
    x = 5,217,065.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.