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Finding the Third Proportional to 2,251,253.25 and 4,929,417

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Solution

The third proportional to 2,251,253.25 and 4,929,417 is: 10,793,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,253.25 : 4,929,417 = 4,929,417 : x
  2. Step 2: Convert to fraction form
    2,251,253.25/4,929,417 = 4,929,417/x
  3. Step 3: Cross multiply
    2,251,253.25x = 4,929,417 × 4,929,417
  4. Step 4: Simplify right side
    2,251,253.25x = 24,299,151,959,889
  5. Step 5: Solve for x
    x = 24,299,151,959,889/2,251,253.25
  6. Step 6: Final answer
    x = 10,793,611.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.