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Finding the Third Proportional to 784,996 and 1,690,275

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Solution

The third proportional to 784,996 and 1,690,275 is: 3,639,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,996 : 1,690,275 = 1,690,275 : x
  2. Step 2: Convert to fraction form
    784,996/1,690,275 = 1,690,275/x
  3. Step 3: Cross multiply
    784,996x = 1,690,275 × 1,690,275
  4. Step 4: Simplify right side
    784,996x = 2,857,029,575,625
  5. Step 5: Solve for x
    x = 2,857,029,575,625/784,996
  6. Step 6: Final answer
    x = 3,639,546.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.