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Finding the Third Proportional to 802,364 and 1,246,391

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Solution

The third proportional to 802,364 and 1,246,391 is: 1,936,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,364 : 1,246,391 = 1,246,391 : x
  2. Step 2: Convert to fraction form
    802,364/1,246,391 = 1,246,391/x
  3. Step 3: Cross multiply
    802,364x = 1,246,391 × 1,246,391
  4. Step 4: Simplify right side
    802,364x = 1,553,490,524,881
  5. Step 5: Solve for x
    x = 1,553,490,524,881/802,364
  6. Step 6: Final answer
    x = 1,936,141.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.