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Finding the Third Proportional to 844,957.50 and 1,878,829

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Solution

The third proportional to 844,957.50 and 1,878,829 is: 4,177,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,957.50 : 1,878,829 = 1,878,829 : x
  2. Step 2: Convert to fraction form
    844,957.50/1,878,829 = 1,878,829/x
  3. Step 3: Cross multiply
    844,957.50x = 1,878,829 × 1,878,829
  4. Step 4: Simplify right side
    844,957.50x = 3,529,998,411,241
  5. Step 5: Solve for x
    x = 3,529,998,411,241/844,957.50
  6. Step 6: Final answer
    x = 4,177,723.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.