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Finding the Third Proportional to 1,181,034 and 1,832,247

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Solution

The third proportional to 1,181,034 and 1,832,247 is: 2,842,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,034 : 1,832,247 = 1,832,247 : x
  2. Step 2: Convert to fraction form
    1,181,034/1,832,247 = 1,832,247/x
  3. Step 3: Cross multiply
    1,181,034x = 1,832,247 × 1,832,247
  4. Step 4: Simplify right side
    1,181,034x = 3,357,129,069,009
  5. Step 5: Solve for x
    x = 3,357,129,069,009/1,181,034
  6. Step 6: Final answer
    x = 2,842,533.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.