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Finding the Third Proportional to 714,191 and 968,868

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Solution

The third proportional to 714,191 and 968,868 is: 1,314,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,191 : 968,868 = 968,868 : x
  2. Step 2: Convert to fraction form
    714,191/968,868 = 968,868/x
  3. Step 3: Cross multiply
    714,191x = 968,868 × 968,868
  4. Step 4: Simplify right side
    714,191x = 938,705,201,424
  5. Step 5: Solve for x
    x = 938,705,201,424/714,191
  6. Step 6: Final answer
    x = 1,314,361.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.