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Finding the Third Proportional to 4,368,858 and 6,838,407

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Solution

The third proportional to 4,368,858 and 6,838,407 is: 10,703,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368,858 : 6,838,407 = 6,838,407 : x
  2. Step 2: Convert to fraction form
    4,368,858/6,838,407 = 6,838,407/x
  3. Step 3: Cross multiply
    4,368,858x = 6,838,407 × 6,838,407
  4. Step 4: Simplify right side
    4,368,858x = 46,763,810,297,649
  5. Step 5: Solve for x
    x = 46,763,810,297,649/4,368,858
  6. Step 6: Final answer
    x = 10,703,897.97

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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.