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Finding the Third Proportional to 513,048 and 1,113,699

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Solution

The third proportional to 513,048 and 1,113,699 is: 2,417,562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,048 : 1,113,699 = 1,113,699 : x
  2. Step 2: Convert to fraction form
    513,048/1,113,699 = 1,113,699/x
  3. Step 3: Cross multiply
    513,048x = 1,113,699 × 1,113,699
  4. Step 4: Simplify right side
    513,048x = 1,240,325,462,601
  5. Step 5: Solve for x
    x = 1,240,325,462,601/513,048
  6. Step 6: Final answer
    x = 2,417,562.22

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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.