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Finding the Third Proportional to 616,968 and 840,496

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Solution

The third proportional to 616,968 and 840,496 is: 1,145,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,968 : 840,496 = 840,496 : x
  2. Step 2: Convert to fraction form
    616,968/840,496 = 840,496/x
  3. Step 3: Cross multiply
    616,968x = 840,496 × 840,496
  4. Step 4: Simplify right side
    616,968x = 706,433,526,016
  5. Step 5: Solve for x
    x = 706,433,526,016/616,968
  6. Step 6: Final answer
    x = 1,145,008.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.