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Finding the Third Proportional to 422,348 and 910,711

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Solution

The third proportional to 422,348 and 910,711 is: 1,963,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,348 : 910,711 = 910,711 : x
  2. Step 2: Convert to fraction form
    422,348/910,711 = 910,711/x
  3. Step 3: Cross multiply
    422,348x = 910,711 × 910,711
  4. Step 4: Simplify right side
    422,348x = 829,394,525,521
  5. Step 5: Solve for x
    x = 829,394,525,521/422,348
  6. Step 6: Final answer
    x = 1,963,770.46

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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.