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Finding the Third Proportional to 1,287,730.50 and 2,543,034

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Solution

The third proportional to 1,287,730.50 and 2,543,034 is: 5,022,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,730.50 : 2,543,034 = 2,543,034 : x
  2. Step 2: Convert to fraction form
    1,287,730.50/2,543,034 = 2,543,034/x
  3. Step 3: Cross multiply
    1,287,730.50x = 2,543,034 × 2,543,034
  4. Step 4: Simplify right side
    1,287,730.50x = 6,467,021,925,156
  5. Step 5: Solve for x
    x = 6,467,021,925,156/1,287,730.50
  6. Step 6: Final answer
    x = 5,022,030.56

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.