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Finding the Third Proportional to 591,214 and 917,182

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Solution

The third proportional to 591,214 and 917,182 is: 1,422,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,214 : 917,182 = 917,182 : x
  2. Step 2: Convert to fraction form
    591,214/917,182 = 917,182/x
  3. Step 3: Cross multiply
    591,214x = 917,182 × 917,182
  4. Step 4: Simplify right side
    591,214x = 841,222,821,124
  5. Step 5: Solve for x
    x = 841,222,821,124/591,214
  6. Step 6: Final answer
    x = 1,422,873.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.