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Finding the Third Proportional to 1,163,001 and 2,464,080

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Solution

The third proportional to 1,163,001 and 2,464,080 is: 5,220,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,001 : 2,464,080 = 2,464,080 : x
  2. Step 2: Convert to fraction form
    1,163,001/2,464,080 = 2,464,080/x
  3. Step 3: Cross multiply
    1,163,001x = 2,464,080 × 2,464,080
  4. Step 4: Simplify right side
    1,163,001x = 6,071,690,246,400
  5. Step 5: Solve for x
    x = 6,071,690,246,400/1,163,001
  6. Step 6: Final answer
    x = 5,220,709.39

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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.