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Finding the Third Proportional to 857,256.75 and 1,832,611.50

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Solution

The third proportional to 857,256.75 and 1,832,611.50 is: 3,917,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,256.75 : 1,832,611.50 = 1,832,611.50 : x
  2. Step 2: Convert to fraction form
    857,256.75/1,832,611.50 = 1,832,611.50/x
  3. Step 3: Cross multiply
    857,256.75x = 1,832,611.50 × 1,832,611.50
  4. Step 4: Simplify right side
    857,256.75x = 3,358,464,909,932.25
  5. Step 5: Solve for x
    x = 3,358,464,909,932.25/857,256.75
  6. Step 6: Final answer
    x = 3,917,688.50

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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.