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Finding the Third Proportional to 431,043 and 936,693

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Solution

The third proportional to 431,043 and 936,693 is: 2,035,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,043 : 936,693 = 936,693 : x
  2. Step 2: Convert to fraction form
    431,043/936,693 = 936,693/x
  3. Step 3: Cross multiply
    431,043x = 936,693 × 936,693
  4. Step 4: Simplify right side
    431,043x = 877,393,776,249
  5. Step 5: Solve for x
    x = 877,393,776,249/431,043
  6. Step 6: Final answer
    x = 2,035,513.34

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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.