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Finding the Third Proportional to 703,798 and 1,534,622

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Solution

The third proportional to 703,798 and 1,534,622 is: 3,346,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,798 : 1,534,622 = 1,534,622 : x
  2. Step 2: Convert to fraction form
    703,798/1,534,622 = 1,534,622/x
  3. Step 3: Cross multiply
    703,798x = 1,534,622 × 1,534,622
  4. Step 4: Simplify right side
    703,798x = 2,355,064,682,884
  5. Step 5: Solve for x
    x = 2,355,064,682,884/703,798
  6. Step 6: Final answer
    x = 3,346,222.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.