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Finding the Third Proportional to 814,492 and 1,684,856

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Solution

The third proportional to 814,492 and 1,684,856 is: 3,485,288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,492 : 1,684,856 = 1,684,856 : x
  2. Step 2: Convert to fraction form
    814,492/1,684,856 = 1,684,856/x
  3. Step 3: Cross multiply
    814,492x = 1,684,856 × 1,684,856
  4. Step 4: Simplify right side
    814,492x = 2,838,739,740,736
  5. Step 5: Solve for x
    x = 2,838,739,740,736/814,492
  6. Step 6: Final answer
    x = 3,485,288.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.