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Finding the Third Proportional to 375,633 and 885,826

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Solution

The third proportional to 375,633 and 885,826 is: 2,088,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,633 : 885,826 = 885,826 : x
  2. Step 2: Convert to fraction form
    375,633/885,826 = 885,826/x
  3. Step 3: Cross multiply
    375,633x = 885,826 × 885,826
  4. Step 4: Simplify right side
    375,633x = 784,687,702,276
  5. Step 5: Solve for x
    x = 784,687,702,276/375,633
  6. Step 6: Final answer
    x = 2,088,974.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.