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Finding the Third Proportional to 892,929 and 2,107,447.50

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Solution

The third proportional to 892,929 and 2,107,447.50 is: 4,973,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,929 : 2,107,447.50 = 2,107,447.50 : x
  2. Step 2: Convert to fraction form
    892,929/2,107,447.50 = 2,107,447.50/x
  3. Step 3: Cross multiply
    892,929x = 2,107,447.50 × 2,107,447.50
  4. Step 4: Simplify right side
    892,929x = 4,441,334,965,256.25
  5. Step 5: Solve for x
    x = 4,441,334,965,256.25/892,929
  6. Step 6: Final answer
    x = 4,973,894.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.