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Finding the Third Proportional to 771,659 and 1,692,721

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Solution

The third proportional to 771,659 and 1,692,721 is: 3,713,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,659 : 1,692,721 = 1,692,721 : x
  2. Step 2: Convert to fraction form
    771,659/1,692,721 = 1,692,721/x
  3. Step 3: Cross multiply
    771,659x = 1,692,721 × 1,692,721
  4. Step 4: Simplify right side
    771,659x = 2,865,304,383,841
  5. Step 5: Solve for x
    x = 2,865,304,383,841/771,659
  6. Step 6: Final answer
    x = 3,713,174.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.