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Finding the Third Proportional to 968,278 and 2,051,738

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Solution

The third proportional to 968,278 and 2,051,738 is: 4,347,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,278 : 2,051,738 = 2,051,738 : x
  2. Step 2: Convert to fraction form
    968,278/2,051,738 = 2,051,738/x
  3. Step 3: Cross multiply
    968,278x = 2,051,738 × 2,051,738
  4. Step 4: Simplify right side
    968,278x = 4,209,628,820,644
  5. Step 5: Solve for x
    x = 4,209,628,820,644/968,278
  6. Step 6: Final answer
    x = 4,347,541.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.