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Finding the Third Proportional to 4,480,538 and 6,803,913

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Solution

The third proportional to 4,480,538 and 6,803,913 is: 10,332,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480,538 : 6,803,913 = 6,803,913 : x
  2. Step 2: Convert to fraction form
    4,480,538/6,803,913 = 6,803,913/x
  3. Step 3: Cross multiply
    4,480,538x = 6,803,913 × 6,803,913
  4. Step 4: Simplify right side
    4,480,538x = 46,293,232,111,569
  5. Step 5: Solve for x
    x = 46,293,232,111,569/4,480,538
  6. Step 6: Final answer
    x = 10,332,069.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.