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Finding the Third Proportional to 1,136,822.06 and 2,422,461.94

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Solution

The third proportional to 1,136,822.06 and 2,422,461.94 is: 5,162,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136,822.06 : 2,422,461.94 = 2,422,461.94 : x
  2. Step 2: Convert to fraction form
    1,136,822.06/2,422,461.94 = 2,422,461.94/x
  3. Step 3: Cross multiply
    1,136,822.06x = 2,422,461.94 × 2,422,461.94
  4. Step 4: Simplify right side
    1,136,822.06x = 5,868,321,838,636.25
  5. Step 5: Solve for x
    x = 5,868,321,838,636.25/1,136,822.06
  6. Step 6: Final answer
    x = 5,162,040.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.