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Finding the Third Proportional to 1,025,982 and 2,227,196.25

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Solution

The third proportional to 1,025,982 and 2,227,196.25 is: 4,834,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,982 : 2,227,196.25 = 2,227,196.25 : x
  2. Step 2: Convert to fraction form
    1,025,982/2,227,196.25 = 2,227,196.25/x
  3. Step 3: Cross multiply
    1,025,982x = 2,227,196.25 × 2,227,196.25
  4. Step 4: Simplify right side
    1,025,982x = 4,960,403,136,014.06
  5. Step 5: Solve for x
    x = 4,960,403,136,014.06/1,025,982
  6. Step 6: Final answer
    x = 4,834,785.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.