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Finding the Third Proportional to 429,733 and 910,691

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Solution

The third proportional to 429,733 and 910,691 is: 1,929,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,733 : 910,691 = 910,691 : x
  2. Step 2: Convert to fraction form
    429,733/910,691 = 910,691/x
  3. Step 3: Cross multiply
    429,733x = 910,691 × 910,691
  4. Step 4: Simplify right side
    429,733x = 829,358,097,481
  5. Step 5: Solve for x
    x = 829,358,097,481/429,733
  6. Step 6: Final answer
    x = 1,929,938.12

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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.