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Finding the Third Proportional to 429,766 and 910,757

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Solution

The third proportional to 429,766 and 910,757 is: 1,930,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,766 : 910,757 = 910,757 : x
  2. Step 2: Convert to fraction form
    429,766/910,757 = 910,757/x
  3. Step 3: Cross multiply
    429,766x = 910,757 × 910,757
  4. Step 4: Simplify right side
    429,766x = 829,478,313,049
  5. Step 5: Solve for x
    x = 829,478,313,049/429,766
  6. Step 6: Final answer
    x = 1,930,069.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.