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Finding the Third Proportional to 429,764 and 910,753

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Solution

The third proportional to 429,764 and 910,753 is: 1,930,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,764 : 910,753 = 910,753 : x
  2. Step 2: Convert to fraction form
    429,764/910,753 = 910,753/x
  3. Step 3: Cross multiply
    429,764x = 910,753 × 910,753
  4. Step 4: Simplify right side
    429,764x = 829,471,027,009
  5. Step 5: Solve for x
    x = 829,471,027,009/429,764
  6. Step 6: Final answer
    x = 1,930,061.68

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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.