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Finding the Third Proportional to 431,039 and 936,688

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Solution

The third proportional to 431,039 and 936,688 is: 2,035,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,039 : 936,688 = 936,688 : x
  2. Step 2: Convert to fraction form
    431,039/936,688 = 936,688/x
  3. Step 3: Cross multiply
    431,039x = 936,688 × 936,688
  4. Step 4: Simplify right side
    431,039x = 877,384,409,344
  5. Step 5: Solve for x
    x = 877,384,409,344/431,039
  6. Step 6: Final answer
    x = 2,035,510.50

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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.