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Finding the Third Proportional to 688,221 and 1,481,895

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Solution

The third proportional to 688,221 and 1,481,895 is: 3,190,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,221 : 1,481,895 = 1,481,895 : x
  2. Step 2: Convert to fraction form
    688,221/1,481,895 = 1,481,895/x
  3. Step 3: Cross multiply
    688,221x = 1,481,895 × 1,481,895
  4. Step 4: Simplify right side
    688,221x = 2,196,012,791,025
  5. Step 5: Solve for x
    x = 2,196,012,791,025/688,221
  6. Step 6: Final answer
    x = 3,190,854.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.