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Finding the Third Proportional to 802,064 and 1,783,452

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Solution

The third proportional to 802,064 and 1,783,452 is: 3,965,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,064 : 1,783,452 = 1,783,452 : x
  2. Step 2: Convert to fraction form
    802,064/1,783,452 = 1,783,452/x
  3. Step 3: Cross multiply
    802,064x = 1,783,452 × 1,783,452
  4. Step 4: Simplify right side
    802,064x = 3,180,701,036,304
  5. Step 5: Solve for x
    x = 3,180,701,036,304/802,064
  6. Step 6: Final answer
    x = 3,965,644.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.