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Finding the Third Proportional to 429,726 and 910,677

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Solution

The third proportional to 429,726 and 910,677 is: 1,929,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,726 : 910,677 = 910,677 : x
  2. Step 2: Convert to fraction form
    429,726/910,677 = 910,677/x
  3. Step 3: Cross multiply
    429,726x = 910,677 × 910,677
  4. Step 4: Simplify right side
    429,726x = 829,332,598,329
  5. Step 5: Solve for x
    x = 829,332,598,329/429,726
  6. Step 6: Final answer
    x = 1,929,910.22

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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.