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Finding the Third Proportional to 427,653 and 925,887

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Solution

The third proportional to 427,653 and 925,887 is: 2,004,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,653 : 925,887 = 925,887 : x
  2. Step 2: Convert to fraction form
    427,653/925,887 = 925,887/x
  3. Step 3: Cross multiply
    427,653x = 925,887 × 925,887
  4. Step 4: Simplify right side
    427,653x = 857,266,736,769
  5. Step 5: Solve for x
    x = 857,266,736,769/427,653
  6. Step 6: Final answer
    x = 2,004,584.88

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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.