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Finding the Third Proportional to 736,051 and 1,107,762

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Solution

The third proportional to 736,051 and 1,107,762 is: 1,667,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,051 : 1,107,762 = 1,107,762 : x
  2. Step 2: Convert to fraction form
    736,051/1,107,762 = 1,107,762/x
  3. Step 3: Cross multiply
    736,051x = 1,107,762 × 1,107,762
  4. Step 4: Simplify right side
    736,051x = 1,227,136,648,644
  5. Step 5: Solve for x
    x = 1,227,136,648,644/736,051
  6. Step 6: Final answer
    x = 1,667,189.70

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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.