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Finding the Third Proportional to 2,543,660 and 5,390,584

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Solution

The third proportional to 2,543,660 and 5,390,584 is: 11,423,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543,660 : 5,390,584 = 5,390,584 : x
  2. Step 2: Convert to fraction form
    2,543,660/5,390,584 = 5,390,584/x
  3. Step 3: Cross multiply
    2,543,660x = 5,390,584 × 5,390,584
  4. Step 4: Simplify right side
    2,543,660x = 29,058,395,861,056
  5. Step 5: Solve for x
    x = 29,058,395,861,056/2,543,660
  6. Step 6: Final answer
    x = 11,423,852.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.