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Finding the Third Proportional to 429,748 and 910,722

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Solution

The third proportional to 429,748 and 910,722 is: 1,930,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,748 : 910,722 = 910,722 : x
  2. Step 2: Convert to fraction form
    429,748/910,722 = 910,722/x
  3. Step 3: Cross multiply
    429,748x = 910,722 × 910,722
  4. Step 4: Simplify right side
    429,748x = 829,414,561,284
  5. Step 5: Solve for x
    x = 829,414,561,284/429,748
  6. Step 6: Final answer
    x = 1,930,002.14

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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.