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Finding the Third Proportional to 802,053 and 1,783,431

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Solution

The third proportional to 802,053 and 1,783,431 is: 3,965,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,053 : 1,783,431 = 1,783,431 : x
  2. Step 2: Convert to fraction form
    802,053/1,783,431 = 1,783,431/x
  3. Step 3: Cross multiply
    802,053x = 1,783,431 × 1,783,431
  4. Step 4: Simplify right side
    802,053x = 3,180,626,131,761
  5. Step 5: Solve for x
    x = 3,180,626,131,761/802,053
  6. Step 6: Final answer
    x = 3,965,605.93

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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.