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Finding the Third Proportional to 1,657,832 and 2,492,903

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Solution

The third proportional to 1,657,832 and 2,492,903 is: 3,748,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,832 : 2,492,903 = 2,492,903 : x
  2. Step 2: Convert to fraction form
    1,657,832/2,492,903 = 2,492,903/x
  3. Step 3: Cross multiply
    1,657,832x = 2,492,903 × 2,492,903
  4. Step 4: Simplify right side
    1,657,832x = 6,214,565,367,409
  5. Step 5: Solve for x
    x = 6,214,565,367,409/1,657,832
  6. Step 6: Final answer
    x = 3,748,609.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.