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Finding the Third Proportional to 563,634 and 1,248,796

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Solution

The third proportional to 563,634 and 1,248,796 is: 2,766,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,634 : 1,248,796 = 1,248,796 : x
  2. Step 2: Convert to fraction form
    563,634/1,248,796 = 1,248,796/x
  3. Step 3: Cross multiply
    563,634x = 1,248,796 × 1,248,796
  4. Step 4: Simplify right side
    563,634x = 1,559,491,449,616
  5. Step 5: Solve for x
    x = 1,559,491,449,616/563,634
  6. Step 6: Final answer
    x = 2,766,851.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.