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Finding the Third Proportional to 970,446 and 2,105,838

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Solution

The third proportional to 970,446 and 2,105,838 is: 4,569,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,446 : 2,105,838 = 2,105,838 : x
  2. Step 2: Convert to fraction form
    970,446/2,105,838 = 2,105,838/x
  3. Step 3: Cross multiply
    970,446x = 2,105,838 × 2,105,838
  4. Step 4: Simplify right side
    970,446x = 4,434,553,682,244
  5. Step 5: Solve for x
    x = 4,434,553,682,244/970,446
  6. Step 6: Final answer
    x = 4,569,603.75

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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.