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Finding the Third Proportional to 500,221 and 1,095,311

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Solution

The third proportional to 500,221 and 1,095,311 is: 2,398,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,221 : 1,095,311 = 1,095,311 : x
  2. Step 2: Convert to fraction form
    500,221/1,095,311 = 1,095,311/x
  3. Step 3: Cross multiply
    500,221x = 1,095,311 × 1,095,311
  4. Step 4: Simplify right side
    500,221x = 1,199,706,186,721
  5. Step 5: Solve for x
    x = 1,199,706,186,721/500,221
  6. Step 6: Final answer
    x = 2,398,352.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.