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Finding the Third Proportional to 465,898 and 1,019,034

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Solution

The third proportional to 465,898 and 1,019,034 is: 2,228,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,898 : 1,019,034 = 1,019,034 : x
  2. Step 2: Convert to fraction form
    465,898/1,019,034 = 1,019,034/x
  3. Step 3: Cross multiply
    465,898x = 1,019,034 × 1,019,034
  4. Step 4: Simplify right side
    465,898x = 1,038,430,293,156
  5. Step 5: Solve for x
    x = 1,038,430,293,156/465,898
  6. Step 6: Final answer
    x = 2,228,879.05

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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.