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Finding the Third Proportional to 833,756.50 and 1,706,825

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Solution

The third proportional to 833,756.50 and 1,706,825 is: 3,494,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,756.50 : 1,706,825 = 1,706,825 : x
  2. Step 2: Convert to fraction form
    833,756.50/1,706,825 = 1,706,825/x
  3. Step 3: Cross multiply
    833,756.50x = 1,706,825 × 1,706,825
  4. Step 4: Simplify right side
    833,756.50x = 2,913,251,580,625
  5. Step 5: Solve for x
    x = 2,913,251,580,625/833,756.50
  6. Step 6: Final answer
    x = 3,494,127.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.