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Finding the Third Proportional to 1,502,269 and 3,183,324

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Solution

The third proportional to 1,502,269 and 3,183,324 is: 6,745,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502,269 : 3,183,324 = 3,183,324 : x
  2. Step 2: Convert to fraction form
    1,502,269/3,183,324 = 3,183,324/x
  3. Step 3: Cross multiply
    1,502,269x = 3,183,324 × 3,183,324
  4. Step 4: Simplify right side
    1,502,269x = 10,133,551,688,976
  5. Step 5: Solve for x
    x = 10,133,551,688,976/1,502,269
  6. Step 6: Final answer
    x = 6,745,497.44

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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.