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Finding the Third Proportional to 1,191,868.17 and 2,586,921.05

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Solution

The third proportional to 1,191,868.17 and 2,586,921.05 is: 5,614,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,868.17 : 2,586,921.05 = 2,586,921.05 : x
  2. Step 2: Convert to fraction form
    1,191,868.17/2,586,921.05 = 2,586,921.05/x
  3. Step 3: Cross multiply
    1,191,868.17x = 2,586,921.05 × 2,586,921.05
  4. Step 4: Simplify right side
    1,191,868.17x = 6,692,160,502,764.85
  5. Step 5: Solve for x
    x = 6,692,160,502,764.85/1,191,868.17
  6. Step 6: Final answer
    x = 5,614,849.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.