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Finding the Third Proportional to 736,720 and 1,107,814

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Solution

The third proportional to 736,720 and 1,107,814 is: 1,665,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,720 : 1,107,814 = 1,107,814 : x
  2. Step 2: Convert to fraction form
    736,720/1,107,814 = 1,107,814/x
  3. Step 3: Cross multiply
    736,720x = 1,107,814 × 1,107,814
  4. Step 4: Simplify right side
    736,720x = 1,227,251,858,596
  5. Step 5: Solve for x
    x = 1,227,251,858,596/736,720
  6. Step 6: Final answer
    x = 1,665,832.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.