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Finding the Third Proportional to 970,175 and 2,110,231

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Solution

The third proportional to 970,175 and 2,110,231 is: 4,589,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,175 : 2,110,231 = 2,110,231 : x
  2. Step 2: Convert to fraction form
    970,175/2,110,231 = 2,110,231/x
  3. Step 3: Cross multiply
    970,175x = 2,110,231 × 2,110,231
  4. Step 4: Simplify right side
    970,175x = 4,453,074,873,361
  5. Step 5: Solve for x
    x = 4,453,074,873,361/970,175
  6. Step 6: Final answer
    x = 4,589,970.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.