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Finding the Third Proportional to 672,760 and 1,069,828

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Solution

The third proportional to 672,760 and 1,069,828 is: 1,701,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,760 : 1,069,828 = 1,069,828 : x
  2. Step 2: Convert to fraction form
    672,760/1,069,828 = 1,069,828/x
  3. Step 3: Cross multiply
    672,760x = 1,069,828 × 1,069,828
  4. Step 4: Simplify right side
    672,760x = 1,144,531,949,584
  5. Step 5: Solve for x
    x = 1,144,531,949,584/672,760
  6. Step 6: Final answer
    x = 1,701,248.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.