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Finding the Third Proportional to 3,806,688 and 5,604,864

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Solution

The third proportional to 3,806,688 and 5,604,864 is: 8,252,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806,688 : 5,604,864 = 5,604,864 : x
  2. Step 2: Convert to fraction form
    3,806,688/5,604,864 = 5,604,864/x
  3. Step 3: Cross multiply
    3,806,688x = 5,604,864 × 5,604,864
  4. Step 4: Simplify right side
    3,806,688x = 31,414,500,458,496
  5. Step 5: Solve for x
    x = 31,414,500,458,496/3,806,688
  6. Step 6: Final answer
    x = 8,252,449.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.