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Finding the Third Proportional to 802,922 and 1,744,516

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Solution

The third proportional to 802,922 and 1,744,516 is: 3,790,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,922 : 1,744,516 = 1,744,516 : x
  2. Step 2: Convert to fraction form
    802,922/1,744,516 = 1,744,516/x
  3. Step 3: Cross multiply
    802,922x = 1,744,516 × 1,744,516
  4. Step 4: Simplify right side
    802,922x = 3,043,336,074,256
  5. Step 5: Solve for x
    x = 3,043,336,074,256/802,922
  6. Step 6: Final answer
    x = 3,790,325.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.