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Finding the Third Proportional to 5,902,448 and 8,684,888

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Solution

The third proportional to 5,902,448 and 8,684,888 is: 12,778,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902,448 : 8,684,888 = 8,684,888 : x
  2. Step 2: Convert to fraction form
    5,902,448/8,684,888 = 8,684,888/x
  3. Step 3: Cross multiply
    5,902,448x = 8,684,888 × 8,684,888
  4. Step 4: Simplify right side
    5,902,448x = 75,427,279,572,544
  5. Step 5: Solve for x
    x = 75,427,279,572,544/5,902,448
  6. Step 6: Final answer
    x = 12,778,982.48

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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.