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Finding the Third Proportional to 876,816.14 and 1,345,978.90

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Solution

The third proportional to 876,816.14 and 1,345,978.90 is: 2,066,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,816.14 : 1,345,978.90 = 1,345,978.90 : x
  2. Step 2: Convert to fraction form
    876,816.14/1,345,978.90 = 1,345,978.90/x
  3. Step 3: Cross multiply
    876,816.14x = 1,345,978.90 × 1,345,978.90
  4. Step 4: Simplify right side
    876,816.14x = 1,811,659,195,039.03
  5. Step 5: Solve for x
    x = 1,811,659,195,039.03/876,816.14
  6. Step 6: Final answer
    x = 2,066,179.11

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.