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Finding the Third Proportional to 612,929 and 1,299,577

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Solution

The third proportional to 612,929 and 1,299,577 is: 2,755,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,929 : 1,299,577 = 1,299,577 : x
  2. Step 2: Convert to fraction form
    612,929/1,299,577 = 1,299,577/x
  3. Step 3: Cross multiply
    612,929x = 1,299,577 × 1,299,577
  4. Step 4: Simplify right side
    612,929x = 1,688,900,378,929
  5. Step 5: Solve for x
    x = 1,688,900,378,929/612,929
  6. Step 6: Final answer
    x = 2,755,458.43

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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.