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Finding the Third Proportional to 565,548 and 1,212,978

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Solution

The third proportional to 565,548 and 1,212,978 is: 2,601,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,548 : 1,212,978 = 1,212,978 : x
  2. Step 2: Convert to fraction form
    565,548/1,212,978 = 1,212,978/x
  3. Step 3: Cross multiply
    565,548x = 1,212,978 × 1,212,978
  4. Step 4: Simplify right side
    565,548x = 1,471,315,628,484
  5. Step 5: Solve for x
    x = 1,471,315,628,484/565,548
  6. Step 6: Final answer
    x = 2,601,575.16

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