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Finding the Third Proportional to 552,846 and 1,161,396

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Solution

The third proportional to 552,846 and 1,161,396 is: 2,439,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,846 : 1,161,396 = 1,161,396 : x
  2. Step 2: Convert to fraction form
    552,846/1,161,396 = 1,161,396/x
  3. Step 3: Cross multiply
    552,846x = 1,161,396 × 1,161,396
  4. Step 4: Simplify right side
    552,846x = 1,348,840,668,816
  5. Step 5: Solve for x
    x = 1,348,840,668,816/552,846
  6. Step 6: Final answer
    x = 2,439,812.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.