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Finding the Third Proportional to 553,551 and 903,903

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Solution

The third proportional to 553,551 and 903,903 is: 1,475,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,551 : 903,903 = 903,903 : x
  2. Step 2: Convert to fraction form
    553,551/903,903 = 903,903/x
  3. Step 3: Cross multiply
    553,551x = 903,903 × 903,903
  4. Step 4: Simplify right side
    553,551x = 817,040,633,409
  5. Step 5: Solve for x
    x = 817,040,633,409/553,551
  6. Step 6: Final answer
    x = 1,475,998.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.