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Finding the Third Proportional to 1,181,648.25 and 2,577,166.88

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Solution

The third proportional to 1,181,648.25 and 2,577,166.88 is: 5,620,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,648.25 : 2,577,166.88 = 2,577,166.88 : x
  2. Step 2: Convert to fraction form
    1,181,648.25/2,577,166.88 = 2,577,166.88/x
  3. Step 3: Cross multiply
    1,181,648.25x = 2,577,166.88 × 2,577,166.88
  4. Step 4: Simplify right side
    1,181,648.25x = 6,641,789,101,597.27
  5. Step 5: Solve for x
    x = 6,641,789,101,597.27/1,181,648.25
  6. Step 6: Final answer
    x = 5,620,783.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.