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Finding the Third Proportional to 1,181,669 and 2,577,214

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Solution

The third proportional to 1,181,669 and 2,577,214 is: 5,620,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,669 : 2,577,214 = 2,577,214 : x
  2. Step 2: Convert to fraction form
    1,181,669/2,577,214 = 2,577,214/x
  3. Step 3: Cross multiply
    1,181,669x = 2,577,214 × 2,577,214
  4. Step 4: Simplify right side
    1,181,669x = 6,642,032,001,796
  5. Step 5: Solve for x
    x = 6,642,032,001,796/1,181,669
  6. Step 6: Final answer
    x = 5,620,890.45

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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.