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Finding the Third Proportional to 1,466,269 and 3,066,529

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Solution

The third proportional to 1,466,269 and 3,066,529 is: 6,413,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466,269 : 3,066,529 = 3,066,529 : x
  2. Step 2: Convert to fraction form
    1,466,269/3,066,529 = 3,066,529/x
  3. Step 3: Cross multiply
    1,466,269x = 3,066,529 × 3,066,529
  4. Step 4: Simplify right side
    1,466,269x = 9,403,600,107,841
  5. Step 5: Solve for x
    x = 9,403,600,107,841/1,466,269
  6. Step 6: Final answer
    x = 6,413,284.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.