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Finding the Third Proportional to 1,638,256.88 and 3,564,138.38

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Solution

The third proportional to 1,638,256.88 and 3,564,138.38 is: 7,754,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,256.88 : 3,564,138.38 = 3,564,138.38 : x
  2. Step 2: Convert to fraction form
    1,638,256.88/3,564,138.38 = 3,564,138.38/x
  3. Step 3: Cross multiply
    1,638,256.88x = 3,564,138.38 × 3,564,138.38
  4. Step 4: Simplify right side
    1,638,256.88x = 12,703,082,356,147.64
  5. Step 5: Solve for x
    x = 12,703,082,356,147.64/1,638,256.88
  6. Step 6: Final answer
    x = 7,754,023.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.