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Finding the Third Proportional to 2,534,020 and 5,464,130

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Solution

The third proportional to 2,534,020 and 5,464,130 is: 11,782,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,020 : 5,464,130 = 5,464,130 : x
  2. Step 2: Convert to fraction form
    2,534,020/5,464,130 = 5,464,130/x
  3. Step 3: Cross multiply
    2,534,020x = 5,464,130 × 5,464,130
  4. Step 4: Simplify right side
    2,534,020x = 29,856,716,656,900
  5. Step 5: Solve for x
    x = 29,856,716,656,900/2,534,020
  6. Step 6: Final answer
    x = 11,782,352.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.