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Finding the Third Proportional to 784,141 and 1,198,750

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Solution

The third proportional to 784,141 and 1,198,750 is: 1,832,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,141 : 1,198,750 = 1,198,750 : x
  2. Step 2: Convert to fraction form
    784,141/1,198,750 = 1,198,750/x
  3. Step 3: Cross multiply
    784,141x = 1,198,750 × 1,198,750
  4. Step 4: Simplify right side
    784,141x = 1,437,001,562,500
  5. Step 5: Solve for x
    x = 1,437,001,562,500/784,141
  6. Step 6: Final answer
    x = 1,832,580.57

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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.