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Finding the Third Proportional to 1,638,183.94 and 2,564,228.81

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Solution

The third proportional to 1,638,183.94 and 2,564,228.81 is: 4,013,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,183.94 : 2,564,228.81 = 2,564,228.81 : x
  2. Step 2: Convert to fraction form
    1,638,183.94/2,564,228.81 = 2,564,228.81/x
  3. Step 3: Cross multiply
    1,638,183.94x = 2,564,228.81 × 2,564,228.81
  4. Step 4: Simplify right side
    1,638,183.94x = 6,575,269,402,855.16
  5. Step 5: Solve for x
    x = 6,575,269,402,855.16/1,638,183.94
  6. Step 6: Final answer
    x = 4,013,755.26

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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.