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Finding the Third Proportional to 1,834,828.50 and 2,832,392.50

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Solution

The third proportional to 1,834,828.50 and 2,832,392.50 is: 4,372,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,828.50 : 2,832,392.50 = 2,832,392.50 : x
  2. Step 2: Convert to fraction form
    1,834,828.50/2,832,392.50 = 2,832,392.50/x
  3. Step 3: Cross multiply
    1,834,828.50x = 2,832,392.50 × 2,832,392.50
  4. Step 4: Simplify right side
    1,834,828.50x = 8,022,447,274,056.25
  5. Step 5: Solve for x
    x = 8,022,447,274,056.25/1,834,828.50
  6. Step 6: Final answer
    x = 4,372,314.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.