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Finding the Third Proportional to 424,176 and 909,069.75

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Solution

The third proportional to 424,176 and 909,069.75 is: 1,948,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,176 : 909,069.75 = 909,069.75 : x
  2. Step 2: Convert to fraction form
    424,176/909,069.75 = 909,069.75/x
  3. Step 3: Cross multiply
    424,176x = 909,069.75 × 909,069.75
  4. Step 4: Simplify right side
    424,176x = 826,407,810,365.06
  5. Step 5: Solve for x
    x = 826,407,810,365.06/424,176
  6. Step 6: Final answer
    x = 1,948,266.31

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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.