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Finding the Third Proportional to 784,831 and 1,177,246.50

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Solution

The third proportional to 784,831 and 1,177,246.50 is: 1,765,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,831 : 1,177,246.50 = 1,177,246.50 : x
  2. Step 2: Convert to fraction form
    784,831/1,177,246.50 = 1,177,246.50/x
  3. Step 3: Cross multiply
    784,831x = 1,177,246.50 × 1,177,246.50
  4. Step 4: Simplify right side
    784,831x = 1,385,909,321,762.25
  5. Step 5: Solve for x
    x = 1,385,909,321,762.25/784,831
  6. Step 6: Final answer
    x = 1,765,869.75

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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.