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Finding the Third Proportional to 424,095.75 and 909,609.75

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Solution

The third proportional to 424,095.75 and 909,609.75 is: 1,950,950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,095.75 : 909,609.75 = 909,609.75 : x
  2. Step 2: Convert to fraction form
    424,095.75/909,609.75 = 909,609.75/x
  3. Step 3: Cross multiply
    424,095.75x = 909,609.75 × 909,609.75
  4. Step 4: Simplify right side
    424,095.75x = 827,389,897,295.06
  5. Step 5: Solve for x
    x = 827,389,897,295.06/424,095.75
  6. Step 6: Final answer
    x = 1,950,950.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.