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Finding the Third Proportional to 1,022,798 and 1,534,197

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Solution

The third proportional to 1,022,798 and 1,534,197 is: 2,301,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,798 : 1,534,197 = 1,534,197 : x
  2. Step 2: Convert to fraction form
    1,022,798/1,534,197 = 1,534,197/x
  3. Step 3: Cross multiply
    1,022,798x = 1,534,197 × 1,534,197
  4. Step 4: Simplify right side
    1,022,798x = 2,353,760,434,809
  5. Step 5: Solve for x
    x = 2,353,760,434,809/1,022,798
  6. Step 6: Final answer
    x = 2,301,295.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.