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Finding the Third Proportional to 521,838 and 1,132,900

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Solution

The third proportional to 521,838 and 1,132,900 is: 2,459,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,838 : 1,132,900 = 1,132,900 : x
  2. Step 2: Convert to fraction form
    521,838/1,132,900 = 1,132,900/x
  3. Step 3: Cross multiply
    521,838x = 1,132,900 × 1,132,900
  4. Step 4: Simplify right side
    521,838x = 1,283,462,410,000
  5. Step 5: Solve for x
    x = 1,283,462,410,000/521,838
  6. Step 6: Final answer
    x = 2,459,503.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.