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Finding the Third Proportional to 465,902 and 1,019,042

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Solution

The third proportional to 465,902 and 1,019,042 is: 2,228,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,902 : 1,019,042 = 1,019,042 : x
  2. Step 2: Convert to fraction form
    465,902/1,019,042 = 1,019,042/x
  3. Step 3: Cross multiply
    465,902x = 1,019,042 × 1,019,042
  4. Step 4: Simplify right side
    465,902x = 1,038,446,597,764
  5. Step 5: Solve for x
    x = 1,038,446,597,764/465,902
  6. Step 6: Final answer
    x = 2,228,894.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.