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Finding the Third Proportional to 704,108 and 1,520,464

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Solution

The third proportional to 704,108 and 1,520,464 is: 3,283,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,108 : 1,520,464 = 1,520,464 : x
  2. Step 2: Convert to fraction form
    704,108/1,520,464 = 1,520,464/x
  3. Step 3: Cross multiply
    704,108x = 1,520,464 × 1,520,464
  4. Step 4: Simplify right side
    704,108x = 2,311,810,775,296
  5. Step 5: Solve for x
    x = 2,311,810,775,296/704,108
  6. Step 6: Final answer
    x = 3,283,318.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.