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Finding the Third Proportional to 1,463,768 and 2,284,176

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Solution

The third proportional to 1,463,768 and 2,284,176 is: 3,564,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,768 : 2,284,176 = 2,284,176 : x
  2. Step 2: Convert to fraction form
    1,463,768/2,284,176 = 2,284,176/x
  3. Step 3: Cross multiply
    1,463,768x = 2,284,176 × 2,284,176
  4. Step 4: Simplify right side
    1,463,768x = 5,217,459,998,976
  5. Step 5: Solve for x
    x = 5,217,459,998,976/1,463,768
  6. Step 6: Final answer
    x = 3,564,403.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.