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Finding the Third Proportional to 606,261 and 842,949

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Solution

The third proportional to 606,261 and 842,949 is: 1,172,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,261 : 842,949 = 842,949 : x
  2. Step 2: Convert to fraction form
    606,261/842,949 = 842,949/x
  3. Step 3: Cross multiply
    606,261x = 842,949 × 842,949
  4. Step 4: Simplify right side
    606,261x = 710,563,016,601
  5. Step 5: Solve for x
    x = 710,563,016,601/606,261
  6. Step 6: Final answer
    x = 1,172,041.44

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.