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Finding the Third Proportional to 521,664 and 1,143,336

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Solution

The third proportional to 521,664 and 1,143,336 is: 2,505,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,664 : 1,143,336 = 1,143,336 : x
  2. Step 2: Convert to fraction form
    521,664/1,143,336 = 1,143,336/x
  3. Step 3: Cross multiply
    521,664x = 1,143,336 × 1,143,336
  4. Step 4: Simplify right side
    521,664x = 1,307,217,208,896
  5. Step 5: Solve for x
    x = 1,307,217,208,896/521,664
  6. Step 6: Final answer
    x = 2,505,860.49

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