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Finding the Third Proportional to 1,206,647.72 and 1,773,035.58

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Solution

The third proportional to 1,206,647.72 and 1,773,035.58 is: 2,605,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,647.72 : 1,773,035.58 = 1,773,035.58 : x
  2. Step 2: Convert to fraction form
    1,206,647.72/1,773,035.58 = 1,773,035.58/x
  3. Step 3: Cross multiply
    1,206,647.72x = 1,773,035.58 × 1,773,035.58
  4. Step 4: Simplify right side
    1,206,647.72x = 3,143,655,161,297.05
  5. Step 5: Solve for x
    x = 3,143,655,161,297.05/1,206,647.72
  6. Step 6: Final answer
    x = 2,605,279.99

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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.