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Finding the Third Proportional to 1,048,024 and 2,245,592

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Solution

The third proportional to 1,048,024 and 2,245,592 is: 4,811,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,024 : 2,245,592 = 2,245,592 : x
  2. Step 2: Convert to fraction form
    1,048,024/2,245,592 = 2,245,592/x
  3. Step 3: Cross multiply
    1,048,024x = 2,245,592 × 2,245,592
  4. Step 4: Simplify right side
    1,048,024x = 5,042,683,430,464
  5. Step 5: Solve for x
    x = 5,042,683,430,464/1,048,024
  6. Step 6: Final answer
    x = 4,811,610.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.