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Finding the Third Proportional to 1,638,183.87 and 2,564,228.39

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Solution

The third proportional to 1,638,183.87 and 2,564,228.39 is: 4,013,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,183.87 : 2,564,228.39 = 2,564,228.39 : x
  2. Step 2: Convert to fraction form
    1,638,183.87/2,564,228.39 = 2,564,228.39/x
  3. Step 3: Cross multiply
    1,638,183.87x = 2,564,228.39 × 2,564,228.39
  4. Step 4: Simplify right side
    1,638,183.87x = 6,575,267,239,287.28
  5. Step 5: Solve for x
    x = 6,575,267,239,287.28/1,638,183.87
  6. Step 6: Final answer
    x = 4,013,754.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.