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Finding the Third Proportional to 714,189 and 968,865

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Solution

The third proportional to 714,189 and 968,865 is: 1,314,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,189 : 968,865 = 968,865 : x
  2. Step 2: Convert to fraction form
    714,189/968,865 = 968,865/x
  3. Step 3: Cross multiply
    714,189x = 968,865 × 968,865
  4. Step 4: Simplify right side
    714,189x = 938,699,388,225
  5. Step 5: Solve for x
    x = 938,699,388,225/714,189
  6. Step 6: Final answer
    x = 1,314,357.11

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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.