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Finding the Third Proportional to 736,057 and 1,107,771

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Solution

The third proportional to 736,057 and 1,107,771 is: 1,667,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,057 : 1,107,771 = 1,107,771 : x
  2. Step 2: Convert to fraction form
    736,057/1,107,771 = 1,107,771/x
  3. Step 3: Cross multiply
    736,057x = 1,107,771 × 1,107,771
  4. Step 4: Simplify right side
    736,057x = 1,227,156,588,441
  5. Step 5: Solve for x
    x = 1,227,156,588,441/736,057
  6. Step 6: Final answer
    x = 1,667,203.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.