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Finding the Third Proportional to 672,961 and 1,034,385

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Solution

The third proportional to 672,961 and 1,034,385 is: 1,589,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,961 : 1,034,385 = 1,034,385 : x
  2. Step 2: Convert to fraction form
    672,961/1,034,385 = 1,034,385/x
  3. Step 3: Cross multiply
    672,961x = 1,034,385 × 1,034,385
  4. Step 4: Simplify right side
    672,961x = 1,069,952,328,225
  5. Step 5: Solve for x
    x = 1,069,952,328,225/672,961
  6. Step 6: Final answer
    x = 1,589,917.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.