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Finding the Third Proportional to 817,398 and 1,214,433

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Solution

The third proportional to 817,398 and 1,214,433 is: 1,804,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,398 : 1,214,433 = 1,214,433 : x
  2. Step 2: Convert to fraction form
    817,398/1,214,433 = 1,214,433/x
  3. Step 3: Cross multiply
    817,398x = 1,214,433 × 1,214,433
  4. Step 4: Simplify right side
    817,398x = 1,474,847,511,489
  5. Step 5: Solve for x
    x = 1,474,847,511,489/817,398
  6. Step 6: Final answer
    x = 1,804,319.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.