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Finding the Third Proportional to 829,615.50 and 1,756,431

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Solution

The third proportional to 829,615.50 and 1,756,431 is: 3,718,650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,615.50 : 1,756,431 = 1,756,431 : x
  2. Step 2: Convert to fraction form
    829,615.50/1,756,431 = 1,756,431/x
  3. Step 3: Cross multiply
    829,615.50x = 1,756,431 × 1,756,431
  4. Step 4: Simplify right side
    829,615.50x = 3,085,049,857,761
  5. Step 5: Solve for x
    x = 3,085,049,857,761/829,615.50
  6. Step 6: Final answer
    x = 3,718,650.22

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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.