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Finding the Third Proportional to 569,136.94 and 1,218,964.78

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Solution

The third proportional to 569,136.94 and 1,218,964.78 is: 2,610,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,136.94 : 1,218,964.78 = 1,218,964.78 : x
  2. Step 2: Convert to fraction form
    569,136.94/1,218,964.78 = 1,218,964.78/x
  3. Step 3: Cross multiply
    569,136.94x = 1,218,964.78 × 1,218,964.78
  4. Step 4: Simplify right side
    569,136.94x = 1,485,875,137,927.86
  5. Step 5: Solve for x
    x = 1,485,875,137,927.86/569,136.94
  6. Step 6: Final answer
    x = 2,610,751.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.