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Finding the Third Proportional to 1,178,222.50 and 2,566,390

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Solution

The third proportional to 1,178,222.50 and 2,566,390 is: 5,590,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,222.50 : 2,566,390 = 2,566,390 : x
  2. Step 2: Convert to fraction form
    1,178,222.50/2,566,390 = 2,566,390/x
  3. Step 3: Cross multiply
    1,178,222.50x = 2,566,390 × 2,566,390
  4. Step 4: Simplify right side
    1,178,222.50x = 6,586,357,632,100
  5. Step 5: Solve for x
    x = 6,586,357,632,100/1,178,222.50
  6. Step 6: Final answer
    x = 5,590,079.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.