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Finding the Third Proportional to 431,037 and 936,753.75

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Solution

The third proportional to 431,037 and 936,753.75 is: 2,035,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,037 : 936,753.75 = 936,753.75 : x
  2. Step 2: Convert to fraction form
    431,037/936,753.75 = 936,753.75/x
  3. Step 3: Cross multiply
    431,037x = 936,753.75 × 936,753.75
  4. Step 4: Simplify right side
    431,037x = 877,507,588,139.06
  5. Step 5: Solve for x
    x = 877,507,588,139.06/431,037
  6. Step 6: Final answer
    x = 2,035,805.72

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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.