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Finding the Third Proportional to 3,478,396 and 4,806,372

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Solution

The third proportional to 3,478,396 and 4,806,372 is: 6,641,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,396 : 4,806,372 = 4,806,372 : x
  2. Step 2: Convert to fraction form
    3,478,396/4,806,372 = 4,806,372/x
  3. Step 3: Cross multiply
    3,478,396x = 4,806,372 × 4,806,372
  4. Step 4: Simplify right side
    3,478,396x = 23,101,211,802,384
  5. Step 5: Solve for x
    x = 23,101,211,802,384/3,478,396
  6. Step 6: Final answer
    x = 6,641,340.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.