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Finding the Third Proportional to 529,269.19 and 1,143,102.38

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Solution

The third proportional to 529,269.19 and 1,143,102.38 is: 2,468,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,269.19 : 1,143,102.38 = 1,143,102.38 : x
  2. Step 2: Convert to fraction form
    529,269.19/1,143,102.38 = 1,143,102.38/x
  3. Step 3: Cross multiply
    529,269.19x = 1,143,102.38 × 1,143,102.38
  4. Step 4: Simplify right side
    529,269.19x = 1,306,683,039,730.64
  5. Step 5: Solve for x
    x = 1,306,683,039,730.64/529,269.19
  6. Step 6: Final answer
    x = 2,468,843.97

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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.