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Finding the Third Proportional to 2,392,688.25 and 3,677,733

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Solution

The third proportional to 2,392,688.25 and 3,677,733 is: 5,652,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392,688.25 : 3,677,733 = 3,677,733 : x
  2. Step 2: Convert to fraction form
    2,392,688.25/3,677,733 = 3,677,733/x
  3. Step 3: Cross multiply
    2,392,688.25x = 3,677,733 × 3,677,733
  4. Step 4: Simplify right side
    2,392,688.25x = 13,525,720,019,289
  5. Step 5: Solve for x
    x = 13,525,720,019,289/2,392,688.25
  6. Step 6: Final answer
    x = 5,652,938.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.