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Finding the Third Proportional to 1,098,604.42 and 2,406,668.20

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Solution

The third proportional to 1,098,604.42 and 2,406,668.20 is: 5,272,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,604.42 : 2,406,668.20 = 2,406,668.20 : x
  2. Step 2: Convert to fraction form
    1,098,604.42/2,406,668.20 = 2,406,668.20/x
  3. Step 3: Cross multiply
    1,098,604.42x = 2,406,668.20 × 2,406,668.20
  4. Step 4: Simplify right side
    1,098,604.42x = 5,792,051,839,932.92
  5. Step 5: Solve for x
    x = 5,792,051,839,932.92/1,098,604.42
  6. Step 6: Final answer
    x = 5,272,190.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.