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Finding the Third Proportional to 852,039 and 1,836,877.50

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Solution

The third proportional to 852,039 and 1,836,877.50 is: 3,960,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,039 : 1,836,877.50 = 1,836,877.50 : x
  2. Step 2: Convert to fraction form
    852,039/1,836,877.50 = 1,836,877.50/x
  3. Step 3: Cross multiply
    852,039x = 1,836,877.50 × 1,836,877.50
  4. Step 4: Simplify right side
    852,039x = 3,374,118,950,006.25
  5. Step 5: Solve for x
    x = 3,374,118,950,006.25/852,039
  6. Step 6: Final answer
    x = 3,960,052.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.