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Finding the Third Proportional to 1,271,746 and 2,764,379

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Solution

The third proportional to 1,271,746 and 2,764,379 is: 6,008,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,746 : 2,764,379 = 2,764,379 : x
  2. Step 2: Convert to fraction form
    1,271,746/2,764,379 = 2,764,379/x
  3. Step 3: Cross multiply
    1,271,746x = 2,764,379 × 2,764,379
  4. Step 4: Simplify right side
    1,271,746x = 7,641,791,255,641
  5. Step 5: Solve for x
    x = 7,641,791,255,641/1,271,746
  6. Step 6: Final answer
    x = 6,008,897.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.