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Finding the Third Proportional to 2,483,676 and 3,643,740

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Solution

The third proportional to 2,483,676 and 3,643,740 is: 5,345,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483,676 : 3,643,740 = 3,643,740 : x
  2. Step 2: Convert to fraction form
    2,483,676/3,643,740 = 3,643,740/x
  3. Step 3: Cross multiply
    2,483,676x = 3,643,740 × 3,643,740
  4. Step 4: Simplify right side
    2,483,676x = 13,276,841,187,600
  5. Step 5: Solve for x
    x = 13,276,841,187,600/2,483,676
  6. Step 6: Final answer
    x = 5,345,641.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.