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Finding the Third Proportional to 521,666 and 1,143,340

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Solution

The third proportional to 521,666 and 1,143,340 is: 2,505,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,666 : 1,143,340 = 1,143,340 : x
  2. Step 2: Convert to fraction form
    521,666/1,143,340 = 1,143,340/x
  3. Step 3: Cross multiply
    521,666x = 1,143,340 × 1,143,340
  4. Step 4: Simplify right side
    521,666x = 1,307,226,355,600
  5. Step 5: Solve for x
    x = 1,307,226,355,600/521,666
  6. Step 6: Final answer
    x = 2,505,868.42

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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.