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Finding the Third Proportional to 698,760 and 1,489,032

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Solution

The third proportional to 698,760 and 1,489,032 is: 3,173,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,760 : 1,489,032 = 1,489,032 : x
  2. Step 2: Convert to fraction form
    698,760/1,489,032 = 1,489,032/x
  3. Step 3: Cross multiply
    698,760x = 1,489,032 × 1,489,032
  4. Step 4: Simplify right side
    698,760x = 2,217,216,297,024
  5. Step 5: Solve for x
    x = 2,217,216,297,024/698,760
  6. Step 6: Final answer
    x = 3,173,072.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.