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Finding the Third Proportional to 1,181,542 and 2,531,210

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Solution

The third proportional to 1,181,542 and 2,531,210 is: 5,422,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,542 : 2,531,210 = 2,531,210 : x
  2. Step 2: Convert to fraction form
    1,181,542/2,531,210 = 2,531,210/x
  3. Step 3: Cross multiply
    1,181,542x = 2,531,210 × 2,531,210
  4. Step 4: Simplify right side
    1,181,542x = 6,407,024,064,100
  5. Step 5: Solve for x
    x = 6,407,024,064,100/1,181,542
  6. Step 6: Final answer
    x = 5,422,595.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.