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Finding the Third Proportional to 2,151,272 and 4,585,168

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Solution

The third proportional to 2,151,272 and 4,585,168 is: 9,772,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151,272 : 4,585,168 = 4,585,168 : x
  2. Step 2: Convert to fraction form
    2,151,272/4,585,168 = 4,585,168/x
  3. Step 3: Cross multiply
    2,151,272x = 4,585,168 × 4,585,168
  4. Step 4: Simplify right side
    2,151,272x = 21,023,765,588,224
  5. Step 5: Solve for x
    x = 21,023,765,588,224/2,151,272
  6. Step 6: Final answer
    x = 9,772,713.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.