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Finding the Third Proportional to 714,170 and 968,837

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Solution

The third proportional to 714,170 and 968,837 is: 1,314,316.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,170 : 968,837 = 968,837 : x
  2. Step 2: Convert to fraction form
    714,170/968,837 = 968,837/x
  3. Step 3: Cross multiply
    714,170x = 968,837 × 968,837
  4. Step 4: Simplify right side
    714,170x = 938,645,132,569
  5. Step 5: Solve for x
    x = 938,645,132,569/714,170
  6. Step 6: Final answer
    x = 1,314,316.10

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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.