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Finding the Third Proportional to 784,131 and 1,717,665

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Solution

The third proportional to 784,131 and 1,717,665 is: 3,762,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,131 : 1,717,665 = 1,717,665 : x
  2. Step 2: Convert to fraction form
    784,131/1,717,665 = 1,717,665/x
  3. Step 3: Cross multiply
    784,131x = 1,717,665 × 1,717,665
  4. Step 4: Simplify right side
    784,131x = 2,950,373,052,225
  5. Step 5: Solve for x
    x = 2,950,373,052,225/784,131
  6. Step 6: Final answer
    x = 3,762,602.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.