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Finding the Third Proportional to 970,569 and 2,108,805.75

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Solution

The third proportional to 970,569 and 2,108,805.75 is: 4,581,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,569 : 2,108,805.75 = 2,108,805.75 : x
  2. Step 2: Convert to fraction form
    970,569/2,108,805.75 = 2,108,805.75/x
  3. Step 3: Cross multiply
    970,569x = 2,108,805.75 × 2,108,805.75
  4. Step 4: Simplify right side
    970,569x = 4,447,061,691,233.06
  5. Step 5: Solve for x
    x = 4,447,061,691,233.06/970,569
  6. Step 6: Final answer
    x = 4,581,911.94

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Why These Related Problems?

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