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Finding the Third Proportional to 715,398 and 968,121

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Solution

The third proportional to 715,398 and 968,121 is: 1,310,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,398 : 968,121 = 968,121 : x
  2. Step 2: Convert to fraction form
    715,398/968,121 = 968,121/x
  3. Step 3: Cross multiply
    715,398x = 968,121 × 968,121
  4. Step 4: Simplify right side
    715,398x = 937,258,270,641
  5. Step 5: Solve for x
    x = 937,258,270,641/715,398
  6. Step 6: Final answer
    x = 1,310,121.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.