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Finding the Third Proportional to 649,782.75 and 974,674.13

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Solution

The third proportional to 649,782.75 and 974,674.13 is: 1,462,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,782.75 : 974,674.13 = 974,674.13 : x
  2. Step 2: Convert to fraction form
    649,782.75/974,674.13 = 974,674.13/x
  3. Step 3: Cross multiply
    649,782.75x = 974,674.13 × 974,674.13
  4. Step 4: Simplify right side
    649,782.75x = 949,989,649,944.52
  5. Step 5: Solve for x
    x = 949,989,649,944.52/649,782.75
  6. Step 6: Final answer
    x = 1,462,011.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.