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Finding the Third Proportional to 802,393 and 1,762,226

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Solution

The third proportional to 802,393 and 1,762,226 is: 3,870,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,393 : 1,762,226 = 1,762,226 : x
  2. Step 2: Convert to fraction form
    802,393/1,762,226 = 1,762,226/x
  3. Step 3: Cross multiply
    802,393x = 1,762,226 × 1,762,226
  4. Step 4: Simplify right side
    802,393x = 3,105,440,475,076
  5. Step 5: Solve for x
    x = 3,105,440,475,076/802,393
  6. Step 6: Final answer
    x = 3,870,223.79

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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.