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Finding the Third Proportional to 565,557 and 1,212,063

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Solution

The third proportional to 565,557 and 1,212,063 is: 2,597,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,557 : 1,212,063 = 1,212,063 : x
  2. Step 2: Convert to fraction form
    565,557/1,212,063 = 1,212,063/x
  3. Step 3: Cross multiply
    565,557x = 1,212,063 × 1,212,063
  4. Step 4: Simplify right side
    565,557x = 1,469,096,715,969
  5. Step 5: Solve for x
    x = 1,469,096,715,969/565,557
  6. Step 6: Final answer
    x = 2,597,610.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.