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Finding the Third Proportional to 1,233,177.54 and 2,690,454.23

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Solution

The third proportional to 1,233,177.54 and 2,690,454.23 is: 5,869,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,177.54 : 2,690,454.23 = 2,690,454.23 : x
  2. Step 2: Convert to fraction form
    1,233,177.54/2,690,454.23 = 2,690,454.23/x
  3. Step 3: Cross multiply
    1,233,177.54x = 2,690,454.23 × 2,690,454.23
  4. Step 4: Simplify right side
    1,233,177.54x = 7,238,543,987,266.37
  5. Step 5: Solve for x
    x = 7,238,543,987,266.37/1,233,177.54
  6. Step 6: Final answer
    x = 5,869,831.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.