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Finding the Third Proportional to 985,065 and 2,138,273

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Solution

The third proportional to 985,065 and 2,138,273 is: 4,641,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,065 : 2,138,273 = 2,138,273 : x
  2. Step 2: Convert to fraction form
    985,065/2,138,273 = 2,138,273/x
  3. Step 3: Cross multiply
    985,065x = 2,138,273 × 2,138,273
  4. Step 4: Simplify right side
    985,065x = 4,572,211,422,529
  5. Step 5: Solve for x
    x = 4,572,211,422,529/985,065
  6. Step 6: Final answer
    x = 4,641,532.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.