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Finding the Third Proportional to 798,996 and 1,716,576

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Solution

The third proportional to 798,996 and 1,716,576 is: 3,687,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,996 : 1,716,576 = 1,716,576 : x
  2. Step 2: Convert to fraction form
    798,996/1,716,576 = 1,716,576/x
  3. Step 3: Cross multiply
    798,996x = 1,716,576 × 1,716,576
  4. Step 4: Simplify right side
    798,996x = 2,946,633,163,776
  5. Step 5: Solve for x
    x = 2,946,633,163,776/798,996
  6. Step 6: Final answer
    x = 3,687,919.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.