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Finding the Third Proportional to 1,105,784 and 1,668,821

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Solution

The third proportional to 1,105,784 and 1,668,821 is: 2,518,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,784 : 1,668,821 = 1,668,821 : x
  2. Step 2: Convert to fraction form
    1,105,784/1,668,821 = 1,668,821/x
  3. Step 3: Cross multiply
    1,105,784x = 1,668,821 × 1,668,821
  4. Step 4: Simplify right side
    1,105,784x = 2,784,963,530,041
  5. Step 5: Solve for x
    x = 2,784,963,530,041/1,105,784
  6. Step 6: Final answer
    x = 2,518,542.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.