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Finding the Third Proportional to 5,902,371 and 8,684,762

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Solution

The third proportional to 5,902,371 and 8,684,762 is: 12,778,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902,371 : 8,684,762 = 8,684,762 : x
  2. Step 2: Convert to fraction form
    5,902,371/8,684,762 = 8,684,762/x
  3. Step 3: Cross multiply
    5,902,371x = 8,684,762 × 8,684,762
  4. Step 4: Simplify right side
    5,902,371x = 75,425,090,996,644
  5. Step 5: Solve for x
    x = 75,425,090,996,644/5,902,371
  6. Step 6: Final answer
    x = 12,778,778.39

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