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Finding the Third Proportional to 1,138,347 and 2,424,168

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Solution

The third proportional to 1,138,347 and 2,424,168 is: 5,162,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,347 : 2,424,168 = 2,424,168 : x
  2. Step 2: Convert to fraction form
    1,138,347/2,424,168 = 2,424,168/x
  3. Step 3: Cross multiply
    1,138,347x = 2,424,168 × 2,424,168
  4. Step 4: Simplify right side
    1,138,347x = 5,876,590,492,224
  5. Step 5: Solve for x
    x = 5,876,590,492,224/1,138,347
  6. Step 6: Final answer
    x = 5,162,389.41

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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.