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Finding the Third Proportional to 817,398 and 1,226,370

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Solution

The third proportional to 817,398 and 1,226,370 is: 1,839,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,398 : 1,226,370 = 1,226,370 : x
  2. Step 2: Convert to fraction form
    817,398/1,226,370 = 1,226,370/x
  3. Step 3: Cross multiply
    817,398x = 1,226,370 × 1,226,370
  4. Step 4: Simplify right side
    817,398x = 1,503,983,376,900
  5. Step 5: Solve for x
    x = 1,503,983,376,900/817,398
  6. Step 6: Final answer
    x = 1,839,964.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.