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Finding the Third Proportional to 802,893.38 and 1,765,477.69

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Solution

The third proportional to 802,893.38 and 1,765,477.69 is: 3,882,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,893.38 : 1,765,477.69 = 1,765,477.69 : x
  2. Step 2: Convert to fraction form
    802,893.38/1,765,477.69 = 1,765,477.69/x
  3. Step 3: Cross multiply
    802,893.38x = 1,765,477.69 × 1,765,477.69
  4. Step 4: Simplify right side
    802,893.38x = 3,116,911,465,060.35
  5. Step 5: Solve for x
    x = 3,116,911,465,060.35/802,893.38
  6. Step 6: Final answer
    x = 3,882,098.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.