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Finding the Third Proportional to 970,571 and 2,108,810

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Solution

The third proportional to 970,571 and 2,108,810 is: 4,581,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,571 : 2,108,810 = 2,108,810 : x
  2. Step 2: Convert to fraction form
    970,571/2,108,810 = 2,108,810/x
  3. Step 3: Cross multiply
    970,571x = 2,108,810 × 2,108,810
  4. Step 4: Simplify right side
    970,571x = 4,447,079,616,100
  5. Step 5: Solve for x
    x = 4,447,079,616,100/970,571
  6. Step 6: Final answer
    x = 4,581,920.97

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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.