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Finding the Third Proportional to 1,051,782 and 2,302,578

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Solution

The third proportional to 1,051,782 and 2,302,578 is: 5,040,840.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,782 : 2,302,578 = 2,302,578 : x
  2. Step 2: Convert to fraction form
    1,051,782/2,302,578 = 2,302,578/x
  3. Step 3: Cross multiply
    1,051,782x = 2,302,578 × 2,302,578
  4. Step 4: Simplify right side
    1,051,782x = 5,301,865,446,084
  5. Step 5: Solve for x
    x = 5,301,865,446,084/1,051,782
  6. Step 6: Final answer
    x = 5,040,840.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.