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Finding the Third Proportional to 784,381.22 and 1,662,940.13

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Solution

The third proportional to 784,381.22 and 1,662,940.13 is: 3,525,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,381.22 : 1,662,940.13 = 1,662,940.13 : x
  2. Step 2: Convert to fraction form
    784,381.22/1,662,940.13 = 1,662,940.13/x
  3. Step 3: Cross multiply
    784,381.22x = 1,662,940.13 × 1,662,940.13
  4. Step 4: Simplify right side
    784,381.22x = 2,765,369,859,335.02
  5. Step 5: Solve for x
    x = 2,765,369,859,335.02/784,381.22
  6. Step 6: Final answer
    x = 3,525,543.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.