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Finding the Third Proportional to 803,816 and 1,607,632

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Solution

The third proportional to 803,816 and 1,607,632 is: 3,215,264

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,816 : 1,607,632 = 1,607,632 : x
  2. Step 2: Convert to fraction form
    803,816/1,607,632 = 1,607,632/x
  3. Step 3: Cross multiply
    803,816x = 1,607,632 × 1,607,632
  4. Step 4: Simplify right side
    803,816x = 2,584,480,647,424
  5. Step 5: Solve for x
    x = 2,584,480,647,424/803,816
  6. Step 6: Final answer
    x = 3,215,264

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.