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Finding the Third Proportional to 821,760 and 1,708,032

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Solution

The third proportional to 821,760 and 1,708,032 is: 3,550,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,760 : 1,708,032 = 1,708,032 : x
  2. Step 2: Convert to fraction form
    821,760/1,708,032 = 1,708,032/x
  3. Step 3: Cross multiply
    821,760x = 1,708,032 × 1,708,032
  4. Step 4: Simplify right side
    821,760x = 2,917,373,313,024
  5. Step 5: Solve for x
    x = 2,917,373,313,024/821,760
  6. Step 6: Final answer
    x = 3,550,152.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.