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Finding the Third Proportional to 459,767 and 1,002,297

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Solution

The third proportional to 459,767 and 1,002,297 is: 2,185,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,767 : 1,002,297 = 1,002,297 : x
  2. Step 2: Convert to fraction form
    459,767/1,002,297 = 1,002,297/x
  3. Step 3: Cross multiply
    459,767x = 1,002,297 × 1,002,297
  4. Step 4: Simplify right side
    459,767x = 1,004,599,276,209
  5. Step 5: Solve for x
    x = 1,004,599,276,209/459,767
  6. Step 6: Final answer
    x = 2,185,018.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.