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Finding the Third Proportional to 424,182 and 909,084.75

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Solution

The third proportional to 424,182 and 909,084.75 is: 1,948,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,182 : 909,084.75 = 909,084.75 : x
  2. Step 2: Convert to fraction form
    424,182/909,084.75 = 909,084.75/x
  3. Step 3: Cross multiply
    424,182x = 909,084.75 × 909,084.75
  4. Step 4: Simplify right side
    424,182x = 826,435,082,682.56
  5. Step 5: Solve for x
    x = 826,435,082,682.56/424,182
  6. Step 6: Final answer
    x = 1,948,303.05

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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.