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Finding the Third Proportional to 543,534.75 and 1,152,841.50

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Solution

The third proportional to 543,534.75 and 1,152,841.50 is: 2,445,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,534.75 : 1,152,841.50 = 1,152,841.50 : x
  2. Step 2: Convert to fraction form
    543,534.75/1,152,841.50 = 1,152,841.50/x
  3. Step 3: Cross multiply
    543,534.75x = 1,152,841.50 × 1,152,841.50
  4. Step 4: Simplify right side
    543,534.75x = 1,329,043,524,122.25
  5. Step 5: Solve for x
    x = 1,329,043,524,122.25/543,534.75
  6. Step 6: Final answer
    x = 2,445,185.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.