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Finding the Third Proportional to 1,536,549.75 and 2,213,294.63

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Solution

The third proportional to 1,536,549.75 and 2,213,294.63 is: 3,188,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,549.75 : 2,213,294.63 = 2,213,294.63 : x
  2. Step 2: Convert to fraction form
    1,536,549.75/2,213,294.63 = 2,213,294.63/x
  3. Step 3: Cross multiply
    1,536,549.75x = 2,213,294.63 × 2,213,294.63
  4. Step 4: Simplify right side
    1,536,549.75x = 4,898,673,097,053.89
  5. Step 5: Solve for x
    x = 4,898,673,097,053.89/1,536,549.75
  6. Step 6: Final answer
    x = 3,188,099.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.