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Finding the Third Proportional to 970,981.50 and 1,486,040.75

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Solution

The third proportional to 970,981.50 and 1,486,040.75 is: 2,274,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,981.50 : 1,486,040.75 = 1,486,040.75 : x
  2. Step 2: Convert to fraction form
    970,981.50/1,486,040.75 = 1,486,040.75/x
  3. Step 3: Cross multiply
    970,981.50x = 1,486,040.75 × 1,486,040.75
  4. Step 4: Simplify right side
    970,981.50x = 2,208,317,110,660.56
  5. Step 5: Solve for x
    x = 2,208,317,110,660.56/970,981.50
  6. Step 6: Final answer
    x = 2,274,314.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.