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Finding the Third Proportional to 481,042 and 1,045,811.50

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Solution

The third proportional to 481,042 and 1,045,811.50 is: 2,273,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,042 : 1,045,811.50 = 1,045,811.50 : x
  2. Step 2: Convert to fraction form
    481,042/1,045,811.50 = 1,045,811.50/x
  3. Step 3: Cross multiply
    481,042x = 1,045,811.50 × 1,045,811.50
  4. Step 4: Simplify right side
    481,042x = 1,093,721,693,532.25
  5. Step 5: Solve for x
    x = 1,093,721,693,532.25/481,042
  6. Step 6: Final answer
    x = 2,273,651.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.