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Finding the Third Proportional to 914,536 and 2,006,144

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Solution

The third proportional to 914,536 and 2,006,144 is: 4,400,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,536 : 2,006,144 = 2,006,144 : x
  2. Step 2: Convert to fraction form
    914,536/2,006,144 = 2,006,144/x
  3. Step 3: Cross multiply
    914,536x = 2,006,144 × 2,006,144
  4. Step 4: Simplify right side
    914,536x = 4,024,613,748,736
  5. Step 5: Solve for x
    x = 4,024,613,748,736/914,536
  6. Step 6: Final answer
    x = 4,400,716.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.