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Finding the Third Proportional to 1,260,723 and 2,766,228

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Solution

The third proportional to 1,260,723 and 2,766,228 is: 6,069,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260,723 : 2,766,228 = 2,766,228 : x
  2. Step 2: Convert to fraction form
    1,260,723/2,766,228 = 2,766,228/x
  3. Step 3: Cross multiply
    1,260,723x = 2,766,228 × 2,766,228
  4. Step 4: Simplify right side
    1,260,723x = 7,652,017,347,984
  5. Step 5: Solve for x
    x = 7,652,017,347,984/1,260,723
  6. Step 6: Final answer
    x = 6,069,546.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.