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Finding the Third Proportional to 543,411.75 and 1,191,799.50

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Solution

The third proportional to 543,411.75 and 1,191,799.50 is: 2,613,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,411.75 : 1,191,799.50 = 1,191,799.50 : x
  2. Step 2: Convert to fraction form
    543,411.75/1,191,799.50 = 1,191,799.50/x
  3. Step 3: Cross multiply
    543,411.75x = 1,191,799.50 × 1,191,799.50
  4. Step 4: Simplify right side
    543,411.75x = 1,420,386,048,200.25
  5. Step 5: Solve for x
    x = 1,420,386,048,200.25/543,411.75
  6. Step 6: Final answer
    x = 2,613,830.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.