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Finding the Third Proportional to 424,176 and 1,000,470.75

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Solution

The third proportional to 424,176 and 1,000,470.75 is: 2,359,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,176 : 1,000,470.75 = 1,000,470.75 : x
  2. Step 2: Convert to fraction form
    424,176/1,000,470.75 = 1,000,470.75/x
  3. Step 3: Cross multiply
    424,176x = 1,000,470.75 × 1,000,470.75
  4. Step 4: Simplify right side
    424,176x = 1,000,941,721,605.56
  5. Step 5: Solve for x
    x = 1,000,941,721,605.56/424,176
  6. Step 6: Final answer
    x = 2,359,732.10

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.