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Finding the Third Proportional to 1,534,974 and 3,256,968

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Solution

The third proportional to 1,534,974 and 3,256,968 is: 6,910,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,974 : 3,256,968 = 3,256,968 : x
  2. Step 2: Convert to fraction form
    1,534,974/3,256,968 = 3,256,968/x
  3. Step 3: Cross multiply
    1,534,974x = 3,256,968 × 3,256,968
  4. Step 4: Simplify right side
    1,534,974x = 10,607,840,553,024
  5. Step 5: Solve for x
    x = 10,607,840,553,024/1,534,974
  6. Step 6: Final answer
    x = 6,910,762.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.