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Finding the Third Proportional to 817,417 and 1,345,961

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Solution

The third proportional to 817,417 and 1,345,961 is: 2,216,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,417 : 1,345,961 = 1,345,961 : x
  2. Step 2: Convert to fraction form
    817,417/1,345,961 = 1,345,961/x
  3. Step 3: Cross multiply
    817,417x = 1,345,961 × 1,345,961
  4. Step 4: Simplify right side
    817,417x = 1,811,611,013,521
  5. Step 5: Solve for x
    x = 1,811,611,013,521/817,417
  6. Step 6: Final answer
    x = 2,216,262.95

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.