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Finding the Third Proportional to 552,822 and 1,205,700

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Solution

The third proportional to 552,822 and 1,205,700 is: 2,629,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,822 : 1,205,700 = 1,205,700 : x
  2. Step 2: Convert to fraction form
    552,822/1,205,700 = 1,205,700/x
  3. Step 3: Cross multiply
    552,822x = 1,205,700 × 1,205,700
  4. Step 4: Simplify right side
    552,822x = 1,453,712,490,000
  5. Step 5: Solve for x
    x = 1,453,712,490,000/552,822
  6. Step 6: Final answer
    x = 2,629,621.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.