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Finding the Third Proportional to 566,812 and 1,197,604

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Solution

The third proportional to 566,812 and 1,197,604 is: 2,530,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,812 : 1,197,604 = 1,197,604 : x
  2. Step 2: Convert to fraction form
    566,812/1,197,604 = 1,197,604/x
  3. Step 3: Cross multiply
    566,812x = 1,197,604 × 1,197,604
  4. Step 4: Simplify right side
    566,812x = 1,434,255,340,816
  5. Step 5: Solve for x
    x = 1,434,255,340,816/566,812
  6. Step 6: Final answer
    x = 2,530,389.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.