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Finding the Third Proportional to 1,418,988 and 3,022,008

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Solution

The third proportional to 1,418,988 and 3,022,008 is: 6,435,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,988 : 3,022,008 = 3,022,008 : x
  2. Step 2: Convert to fraction form
    1,418,988/3,022,008 = 3,022,008/x
  3. Step 3: Cross multiply
    1,418,988x = 3,022,008 × 3,022,008
  4. Step 4: Simplify right side
    1,418,988x = 9,132,532,352,064
  5. Step 5: Solve for x
    x = 9,132,532,352,064/1,418,988
  6. Step 6: Final answer
    x = 6,435,947.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.