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Finding the Third Proportional to 902,760 and 1,402,344

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Solution

The third proportional to 902,760 and 1,402,344 is: 2,178,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,760 : 1,402,344 = 1,402,344 : x
  2. Step 2: Convert to fraction form
    902,760/1,402,344 = 1,402,344/x
  3. Step 3: Cross multiply
    902,760x = 1,402,344 × 1,402,344
  4. Step 4: Simplify right side
    902,760x = 1,966,568,694,336
  5. Step 5: Solve for x
    x = 1,966,568,694,336/902,760
  6. Step 6: Final answer
    x = 2,178,395.91

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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.