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Finding the Third Proportional to 1,188,254.25 and 2,565,897.75

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Solution

The third proportional to 1,188,254.25 and 2,565,897.75 is: 5,540,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,254.25 : 2,565,897.75 = 2,565,897.75 : x
  2. Step 2: Convert to fraction form
    1,188,254.25/2,565,897.75 = 2,565,897.75/x
  3. Step 3: Cross multiply
    1,188,254.25x = 2,565,897.75 × 2,565,897.75
  4. Step 4: Simplify right side
    1,188,254.25x = 6,583,831,263,455.06
  5. Step 5: Solve for x
    x = 6,583,831,263,455.06/1,188,254.25
  6. Step 6: Final answer
    x = 5,540,759.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.