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Finding the Third Proportional to 5,902,373 and 8,684,765

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Solution

The third proportional to 5,902,373 and 8,684,765 is: 12,778,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902,373 : 8,684,765 = 8,684,765 : x
  2. Step 2: Convert to fraction form
    5,902,373/8,684,765 = 8,684,765/x
  3. Step 3: Cross multiply
    5,902,373x = 8,684,765 × 8,684,765
  4. Step 4: Simplify right side
    5,902,373x = 75,425,143,105,225
  5. Step 5: Solve for x
    x = 75,425,143,105,225/5,902,373
  6. Step 6: Final answer
    x = 12,778,782.89

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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.