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Finding the Third Proportional to 1,314,522 and 2,691,216

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Solution

The third proportional to 1,314,522 and 2,691,216 is: 5,509,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,522 : 2,691,216 = 2,691,216 : x
  2. Step 2: Convert to fraction form
    1,314,522/2,691,216 = 2,691,216/x
  3. Step 3: Cross multiply
    1,314,522x = 2,691,216 × 2,691,216
  4. Step 4: Simplify right side
    1,314,522x = 7,242,643,558,656
  5. Step 5: Solve for x
    x = 7,242,643,558,656/1,314,522
  6. Step 6: Final answer
    x = 5,509,716.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.