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Finding the Third Proportional to 414,292 and 893,790

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Solution

The third proportional to 414,292 and 893,790 is: 1,928,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,292 : 893,790 = 893,790 : x
  2. Step 2: Convert to fraction form
    414,292/893,790 = 893,790/x
  3. Step 3: Cross multiply
    414,292x = 893,790 × 893,790
  4. Step 4: Simplify right side
    414,292x = 798,860,564,100
  5. Step 5: Solve for x
    x = 798,860,564,100/414,292
  6. Step 6: Final answer
    x = 1,928,254.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.