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Finding the Third Proportional to 431,038 and 936,685

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Solution

The third proportional to 431,038 and 936,685 is: 2,035,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,038 : 936,685 = 936,685 : x
  2. Step 2: Convert to fraction form
    431,038/936,685 = 936,685/x
  3. Step 3: Cross multiply
    431,038x = 936,685 × 936,685
  4. Step 4: Simplify right side
    431,038x = 877,378,789,225
  5. Step 5: Solve for x
    x = 877,378,789,225/431,038
  6. Step 6: Final answer
    x = 2,035,502.18

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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.