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Finding the Third Proportional to 2,080,597.50 and 3,264,666.75

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Solution

The third proportional to 2,080,597.50 and 3,264,666.75 is: 5,122,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,597.50 : 3,264,666.75 = 3,264,666.75 : x
  2. Step 2: Convert to fraction form
    2,080,597.50/3,264,666.75 = 3,264,666.75/x
  3. Step 3: Cross multiply
    2,080,597.50x = 3,264,666.75 × 3,264,666.75
  4. Step 4: Simplify right side
    2,080,597.50x = 10,658,048,988,555.56
  5. Step 5: Solve for x
    x = 10,658,048,988,555.56/2,080,597.50
  6. Step 6: Final answer
    x = 5,122,590.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.