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Finding the Third Proportional to 606,241 and 842,929

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Solution

The third proportional to 606,241 and 842,929 is: 1,172,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,241 : 842,929 = 842,929 : x
  2. Step 2: Convert to fraction form
    606,241/842,929 = 842,929/x
  3. Step 3: Cross multiply
    606,241x = 842,929 × 842,929
  4. Step 4: Simplify right side
    606,241x = 710,529,299,041
  5. Step 5: Solve for x
    x = 710,529,299,041/606,241
  6. Step 6: Final answer
    x = 1,172,024.49

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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.