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Finding the Third Proportional to 534,726.75 and 1,189,014

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Solution

The third proportional to 534,726.75 and 1,189,014 is: 2,643,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,726.75 : 1,189,014 = 1,189,014 : x
  2. Step 2: Convert to fraction form
    534,726.75/1,189,014 = 1,189,014/x
  3. Step 3: Cross multiply
    534,726.75x = 1,189,014 × 1,189,014
  4. Step 4: Simplify right side
    534,726.75x = 1,413,754,292,196
  5. Step 5: Solve for x
    x = 1,413,754,292,196/534,726.75
  6. Step 6: Final answer
    x = 2,643,881.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.