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Finding the Third Proportional to 431,038 and 936,686

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Solution

The third proportional to 431,038 and 936,686 is: 2,035,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,038 : 936,686 = 936,686 : x
  2. Step 2: Convert to fraction form
    431,038/936,686 = 936,686/x
  3. Step 3: Cross multiply
    431,038x = 936,686 × 936,686
  4. Step 4: Simplify right side
    431,038x = 877,380,662,596
  5. Step 5: Solve for x
    x = 877,380,662,596/431,038
  6. Step 6: Final answer
    x = 2,035,506.53

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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.