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Finding the Third Proportional to 686,914 and 1,492,110

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Solution

The third proportional to 686,914 and 1,492,110 is: 3,241,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,914 : 1,492,110 = 1,492,110 : x
  2. Step 2: Convert to fraction form
    686,914/1,492,110 = 1,492,110/x
  3. Step 3: Cross multiply
    686,914x = 1,492,110 × 1,492,110
  4. Step 4: Simplify right side
    686,914x = 2,226,392,252,100
  5. Step 5: Solve for x
    x = 2,226,392,252,100/686,914
  6. Step 6: Final answer
    x = 3,241,151.37

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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.