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Finding the Third Proportional to 873,970 and 1,906,814

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Solution

The third proportional to 873,970 and 1,906,814 is: 4,160,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,970 : 1,906,814 = 1,906,814 : x
  2. Step 2: Convert to fraction form
    873,970/1,906,814 = 1,906,814/x
  3. Step 3: Cross multiply
    873,970x = 1,906,814 × 1,906,814
  4. Step 4: Simplify right side
    873,970x = 3,635,939,630,596
  5. Step 5: Solve for x
    x = 3,635,939,630,596/873,970
  6. Step 6: Final answer
    x = 4,160,256.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.