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Finding the Third Proportional to 1,141,047.32 and 2,409,419.04

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Solution

The third proportional to 1,141,047.32 and 2,409,419.04 is: 5,087,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,047.32 : 2,409,419.04 = 2,409,419.04 : x
  2. Step 2: Convert to fraction form
    1,141,047.32/2,409,419.04 = 2,409,419.04/x
  3. Step 3: Cross multiply
    1,141,047.32x = 2,409,419.04 × 2,409,419.04
  4. Step 4: Simplify right side
    1,141,047.32x = 5,805,300,105,796.86
  5. Step 5: Solve for x
    x = 5,805,300,105,796.86/1,141,047.32
  6. Step 6: Final answer
    x = 5,087,694.46

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.