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Finding the Third Proportional to 517,653 and 1,107,273

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Solution

The third proportional to 517,653 and 1,107,273 is: 2,368,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,653 : 1,107,273 = 1,107,273 : x
  2. Step 2: Convert to fraction form
    517,653/1,107,273 = 1,107,273/x
  3. Step 3: Cross multiply
    517,653x = 1,107,273 × 1,107,273
  4. Step 4: Simplify right side
    517,653x = 1,226,053,496,529
  5. Step 5: Solve for x
    x = 1,226,053,496,529/517,653
  6. Step 6: Final answer
    x = 2,368,485.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.