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Finding the Third Proportional to 749,188 and 1,217,208

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Solution

The third proportional to 749,188 and 1,217,208 is: 1,977,601.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,188 : 1,217,208 = 1,217,208 : x
  2. Step 2: Convert to fraction form
    749,188/1,217,208 = 1,217,208/x
  3. Step 3: Cross multiply
    749,188x = 1,217,208 × 1,217,208
  4. Step 4: Simplify right side
    749,188x = 1,481,595,315,264
  5. Step 5: Solve for x
    x = 1,481,595,315,264/749,188
  6. Step 6: Final answer
    x = 1,977,601.50

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.