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Finding the Third Proportional to 736,784 and 1,100,620

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Solution

The third proportional to 736,784 and 1,100,620 is: 1,644,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,784 : 1,100,620 = 1,100,620 : x
  2. Step 2: Convert to fraction form
    736,784/1,100,620 = 1,100,620/x
  3. Step 3: Cross multiply
    736,784x = 1,100,620 × 1,100,620
  4. Step 4: Simplify right side
    736,784x = 1,211,364,384,400
  5. Step 5: Solve for x
    x = 1,211,364,384,400/736,784
  6. Step 6: Final answer
    x = 1,644,124.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.