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Finding the Third Proportional to 4,368,584 and 6,838,092

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Solution

The third proportional to 4,368,584 and 6,838,092 is: 10,703,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368,584 : 6,838,092 = 6,838,092 : x
  2. Step 2: Convert to fraction form
    4,368,584/6,838,092 = 6,838,092/x
  3. Step 3: Cross multiply
    4,368,584x = 6,838,092 × 6,838,092
  4. Step 4: Simplify right side
    4,368,584x = 46,759,502,200,464
  5. Step 5: Solve for x
    x = 46,759,502,200,464/4,368,584
  6. Step 6: Final answer
    x = 10,703,583.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.