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Finding the Third Proportional to 1,536,370 and 2,213,196

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Solution

The third proportional to 1,536,370 and 2,213,196 is: 3,188,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,370 : 2,213,196 = 2,213,196 : x
  2. Step 2: Convert to fraction form
    1,536,370/2,213,196 = 2,213,196/x
  3. Step 3: Cross multiply
    1,536,370x = 2,213,196 × 2,213,196
  4. Step 4: Simplify right side
    1,536,370x = 4,898,236,534,416
  5. Step 5: Solve for x
    x = 4,898,236,534,416/1,536,370
  6. Step 6: Final answer
    x = 3,188,188.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.