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Finding the Third Proportional to 656,286 and 1,424,610

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Solution

The third proportional to 656,286 and 1,424,610 is: 3,092,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,286 : 1,424,610 = 1,424,610 : x
  2. Step 2: Convert to fraction form
    656,286/1,424,610 = 1,424,610/x
  3. Step 3: Cross multiply
    656,286x = 1,424,610 × 1,424,610
  4. Step 4: Simplify right side
    656,286x = 2,029,513,652,100
  5. Step 5: Solve for x
    x = 2,029,513,652,100/656,286
  6. Step 6: Final answer
    x = 3,092,422.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.