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Finding the Third Proportional to 773,442 and 1,195,164

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Solution

The third proportional to 773,442 and 1,195,164 is: 1,846,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,442 : 1,195,164 = 1,195,164 : x
  2. Step 2: Convert to fraction form
    773,442/1,195,164 = 1,195,164/x
  3. Step 3: Cross multiply
    773,442x = 1,195,164 × 1,195,164
  4. Step 4: Simplify right side
    773,442x = 1,428,416,986,896
  5. Step 5: Solve for x
    x = 1,428,416,986,896/773,442
  6. Step 6: Final answer
    x = 1,846,831.42

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