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Finding the Third Proportional to 688,284 and 1,049,922

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Solution

The third proportional to 688,284 and 1,049,922 is: 1,601,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,284 : 1,049,922 = 1,049,922 : x
  2. Step 2: Convert to fraction form
    688,284/1,049,922 = 1,049,922/x
  3. Step 3: Cross multiply
    688,284x = 1,049,922 × 1,049,922
  4. Step 4: Simplify right side
    688,284x = 1,102,336,206,084
  5. Step 5: Solve for x
    x = 1,102,336,206,084/688,284
  6. Step 6: Final answer
    x = 1,601,571.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.