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Finding the Third Proportional to 1,970,433 and 4,264,714.13

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Solution

The third proportional to 1,970,433 and 4,264,714.13 is: 9,230,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,433 : 4,264,714.13 = 4,264,714.13 : x
  2. Step 2: Convert to fraction form
    1,970,433/4,264,714.13 = 4,264,714.13/x
  3. Step 3: Cross multiply
    1,970,433x = 4,264,714.13 × 4,264,714.13
  4. Step 4: Simplify right side
    1,970,433x = 18,187,786,567,974.52
  5. Step 5: Solve for x
    x = 18,187,786,567,974.52/1,970,433
  6. Step 6: Final answer
    x = 9,230,350.17

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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.