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Finding the Third Proportional to 757,188 and 1,129,221

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Solution

The third proportional to 757,188 and 1,129,221 is: 1,684,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,188 : 1,129,221 = 1,129,221 : x
  2. Step 2: Convert to fraction form
    757,188/1,129,221 = 1,129,221/x
  3. Step 3: Cross multiply
    757,188x = 1,129,221 × 1,129,221
  4. Step 4: Simplify right side
    757,188x = 1,275,140,066,841
  5. Step 5: Solve for x
    x = 1,275,140,066,841/757,188
  6. Step 6: Final answer
    x = 1,684,046.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.