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Finding the Third Proportional to 1,836,621.84 and 4,288,810.78

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Solution

The third proportional to 1,836,621.84 and 4,288,810.78 is: 10,015,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,621.84 : 4,288,810.78 = 4,288,810.78 : x
  2. Step 2: Convert to fraction form
    1,836,621.84/4,288,810.78 = 4,288,810.78/x
  3. Step 3: Cross multiply
    1,836,621.84x = 4,288,810.78 × 4,288,810.78
  4. Step 4: Simplify right side
    1,836,621.84x = 18,393,897,917,366.23
  5. Step 5: Solve for x
    x = 18,393,897,917,366.23/1,836,621.84
  6. Step 6: Final answer
    x = 10,015,070.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.