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Finding the Third Proportional to 806,763.80 and 1,733,402.53

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Solution

The third proportional to 806,763.80 and 1,733,402.53 is: 3,724,366.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,763.80 : 1,733,402.53 = 1,733,402.53 : x
  2. Step 2: Convert to fraction form
    806,763.80/1,733,402.53 = 1,733,402.53/x
  3. Step 3: Cross multiply
    806,763.80x = 1,733,402.53 × 1,733,402.53
  4. Step 4: Simplify right side
    806,763.80x = 3,004,684,335,343.91
  5. Step 5: Solve for x
    x = 3,004,684,335,343.91/806,763.80
  6. Step 6: Final answer
    x = 3,724,366.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.