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Finding the Third Proportional to 917,898.75 and 1,983,420

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Solution

The third proportional to 917,898.75 and 1,983,420 is: 4,285,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,898.75 : 1,983,420 = 1,983,420 : x
  2. Step 2: Convert to fraction form
    917,898.75/1,983,420 = 1,983,420/x
  3. Step 3: Cross multiply
    917,898.75x = 1,983,420 × 1,983,420
  4. Step 4: Simplify right side
    917,898.75x = 3,933,954,896,400
  5. Step 5: Solve for x
    x = 3,933,954,896,400/917,898.75
  6. Step 6: Final answer
    x = 4,285,826.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.