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Finding the Third Proportional to 4,616,945 and 6,899,577

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Solution

The third proportional to 4,616,945 and 6,899,577 is: 10,310,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,945 : 6,899,577 = 6,899,577 : x
  2. Step 2: Convert to fraction form
    4,616,945/6,899,577 = 6,899,577/x
  3. Step 3: Cross multiply
    4,616,945x = 6,899,577 × 6,899,577
  4. Step 4: Simplify right side
    4,616,945x = 47,604,162,778,929
  5. Step 5: Solve for x
    x = 47,604,162,778,929/4,616,945
  6. Step 6: Final answer
    x = 10,310,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.