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Finding the Third Proportional to 1,281,191 and 2,720,413

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Solution

The third proportional to 1,281,191 and 2,720,413 is: 5,776,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,191 : 2,720,413 = 2,720,413 : x
  2. Step 2: Convert to fraction form
    1,281,191/2,720,413 = 2,720,413/x
  3. Step 3: Cross multiply
    1,281,191x = 2,720,413 × 2,720,413
  4. Step 4: Simplify right side
    1,281,191x = 7,400,646,890,569
  5. Step 5: Solve for x
    x = 7,400,646,890,569/1,281,191
  6. Step 6: Final answer
    x = 5,776,380.64

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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.