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Finding the Third Proportional to 728,826 and 1,019,151

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Solution

The third proportional to 728,826 and 1,019,151 is: 1,425,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,826 : 1,019,151 = 1,019,151 : x
  2. Step 2: Convert to fraction form
    728,826/1,019,151 = 1,019,151/x
  3. Step 3: Cross multiply
    728,826x = 1,019,151 × 1,019,151
  4. Step 4: Simplify right side
    728,826x = 1,038,668,760,801
  5. Step 5: Solve for x
    x = 1,038,668,760,801/728,826
  6. Step 6: Final answer
    x = 1,425,125.83

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.