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Finding the Third Proportional to 784,858.50 and 1,177,290

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Solution

The third proportional to 784,858.50 and 1,177,290 is: 1,765,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,858.50 : 1,177,290 = 1,177,290 : x
  2. Step 2: Convert to fraction form
    784,858.50/1,177,290 = 1,177,290/x
  3. Step 3: Cross multiply
    784,858.50x = 1,177,290 × 1,177,290
  4. Step 4: Simplify right side
    784,858.50x = 1,386,011,744,100
  5. Step 5: Solve for x
    x = 1,386,011,744,100/784,858.50
  6. Step 6: Final answer
    x = 1,765,938.38

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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.