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Finding the Third Proportional to 632,074 and 1,387,796

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Solution

The third proportional to 632,074 and 1,387,796 is: 3,047,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,074 : 1,387,796 = 1,387,796 : x
  2. Step 2: Convert to fraction form
    632,074/1,387,796 = 1,387,796/x
  3. Step 3: Cross multiply
    632,074x = 1,387,796 × 1,387,796
  4. Step 4: Simplify right side
    632,074x = 1,925,977,737,616
  5. Step 5: Solve for x
    x = 1,925,977,737,616/632,074
  6. Step 6: Final answer
    x = 3,047,076.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.