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Finding the Third Proportional to 591,194 and 917,153

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Solution

The third proportional to 591,194 and 917,153 is: 1,422,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,194 : 917,153 = 917,153 : x
  2. Step 2: Convert to fraction form
    591,194/917,153 = 917,153/x
  3. Step 3: Cross multiply
    591,194x = 917,153 × 917,153
  4. Step 4: Simplify right side
    591,194x = 841,169,625,409
  5. Step 5: Solve for x
    x = 841,169,625,409/591,194
  6. Step 6: Final answer
    x = 1,422,831.80

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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.