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Finding the Third Proportional to 817,998 and 1,263,477

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Solution

The third proportional to 817,998 and 1,263,477 is: 1,951,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,998 : 1,263,477 = 1,263,477 : x
  2. Step 2: Convert to fraction form
    817,998/1,263,477 = 1,263,477/x
  3. Step 3: Cross multiply
    817,998x = 1,263,477 × 1,263,477
  4. Step 4: Simplify right side
    817,998x = 1,596,374,129,529
  5. Step 5: Solve for x
    x = 1,596,374,129,529/817,998
  6. Step 6: Final answer
    x = 1,951,562.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.