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Finding the Third Proportional to 411,003 and 900,576

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Solution

The third proportional to 411,003 and 900,576 is: 1,973,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,003 : 900,576 = 900,576 : x
  2. Step 2: Convert to fraction form
    411,003/900,576 = 900,576/x
  3. Step 3: Cross multiply
    411,003x = 900,576 × 900,576
  4. Step 4: Simplify right side
    411,003x = 811,037,131,776
  5. Step 5: Solve for x
    x = 811,037,131,776/411,003
  6. Step 6: Final answer
    x = 1,973,311.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.