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Finding the Third Proportional to 1,370,691.50 and 2,970,196.75

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Solution

The third proportional to 1,370,691.50 and 2,970,196.75 is: 6,436,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370,691.50 : 2,970,196.75 = 2,970,196.75 : x
  2. Step 2: Convert to fraction form
    1,370,691.50/2,970,196.75 = 2,970,196.75/x
  3. Step 3: Cross multiply
    1,370,691.50x = 2,970,196.75 × 2,970,196.75
  4. Step 4: Simplify right side
    1,370,691.50x = 8,822,068,733,710.56
  5. Step 5: Solve for x
    x = 8,822,068,733,710.56/1,370,691.50
  6. Step 6: Final answer
    x = 6,436,217.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.