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Finding the Third Proportional to 802,294 and 1,762,061

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Solution

The third proportional to 802,294 and 1,762,061 is: 3,869,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,294 : 1,762,061 = 1,762,061 : x
  2. Step 2: Convert to fraction form
    802,294/1,762,061 = 1,762,061/x
  3. Step 3: Cross multiply
    802,294x = 1,762,061 × 1,762,061
  4. Step 4: Simplify right side
    802,294x = 3,104,858,967,721
  5. Step 5: Solve for x
    x = 3,104,858,967,721/802,294
  6. Step 6: Final answer
    x = 3,869,976.55

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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.