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Finding the Third Proportional to 1,181,952 and 1,730,997

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Solution

The third proportional to 1,181,952 and 1,730,997 is: 2,535,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,952 : 1,730,997 = 1,730,997 : x
  2. Step 2: Convert to fraction form
    1,181,952/1,730,997 = 1,730,997/x
  3. Step 3: Cross multiply
    1,181,952x = 1,730,997 × 1,730,997
  4. Step 4: Simplify right side
    1,181,952x = 2,996,350,614,009
  5. Step 5: Solve for x
    x = 2,996,350,614,009/1,181,952
  6. Step 6: Final answer
    x = 2,535,086.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.