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Finding the Third Proportional to 802,080 and 1,223,322

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Solution

The third proportional to 802,080 and 1,223,322 is: 1,865,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,080 : 1,223,322 = 1,223,322 : x
  2. Step 2: Convert to fraction form
    802,080/1,223,322 = 1,223,322/x
  3. Step 3: Cross multiply
    802,080x = 1,223,322 × 1,223,322
  4. Step 4: Simplify right side
    802,080x = 1,496,516,715,684
  5. Step 5: Solve for x
    x = 1,496,516,715,684/802,080
  6. Step 6: Final answer
    x = 1,865,794.83

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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.