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Finding the Third Proportional to 429,762 and 910,749

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Solution

The third proportional to 429,762 and 910,749 is: 1,930,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,762 : 910,749 = 910,749 : x
  2. Step 2: Convert to fraction form
    429,762/910,749 = 910,749/x
  3. Step 3: Cross multiply
    429,762x = 910,749 × 910,749
  4. Step 4: Simplify right side
    429,762x = 829,463,741,001
  5. Step 5: Solve for x
    x = 829,463,741,001/429,762
  6. Step 6: Final answer
    x = 1,930,053.71

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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.