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Finding the Third Proportional to 389,222 and 842,416

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Solution

The third proportional to 389,222 and 842,416 is: 1,823,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,222 : 842,416 = 842,416 : x
  2. Step 2: Convert to fraction form
    389,222/842,416 = 842,416/x
  3. Step 3: Cross multiply
    389,222x = 842,416 × 842,416
  4. Step 4: Simplify right side
    389,222x = 709,664,717,056
  5. Step 5: Solve for x
    x = 709,664,717,056/389,222
  6. Step 6: Final answer
    x = 1,823,290.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.