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Finding the Third Proportional to 917,646 and 1,375,832.50

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Solution

The third proportional to 917,646 and 1,375,832.50 is: 2,062,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,646 : 1,375,832.50 = 1,375,832.50 : x
  2. Step 2: Convert to fraction form
    917,646/1,375,832.50 = 1,375,832.50/x
  3. Step 3: Cross multiply
    917,646x = 1,375,832.50 × 1,375,832.50
  4. Step 4: Simplify right side
    917,646x = 1,892,915,068,056.25
  5. Step 5: Solve for x
    x = 1,892,915,068,056.25/917,646
  6. Step 6: Final answer
    x = 2,062,794.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.