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Finding the Third Proportional to 968,858 and 2,262,971

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Solution

The third proportional to 968,858 and 2,262,971 is: 5,285,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,858 : 2,262,971 = 2,262,971 : x
  2. Step 2: Convert to fraction form
    968,858/2,262,971 = 2,262,971/x
  3. Step 3: Cross multiply
    968,858x = 2,262,971 × 2,262,971
  4. Step 4: Simplify right side
    968,858x = 5,121,037,746,841
  5. Step 5: Solve for x
    x = 5,121,037,746,841/968,858
  6. Step 6: Final answer
    x = 5,285,643.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.