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Finding the Third Proportional to 697,339 and 1,501,018

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Solution

The third proportional to 697,339 and 1,501,018 is: 3,230,932.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,339 : 1,501,018 = 1,501,018 : x
  2. Step 2: Convert to fraction form
    697,339/1,501,018 = 1,501,018/x
  3. Step 3: Cross multiply
    697,339x = 1,501,018 × 1,501,018
  4. Step 4: Simplify right side
    697,339x = 2,253,055,036,324
  5. Step 5: Solve for x
    x = 2,253,055,036,324/697,339
  6. Step 6: Final answer
    x = 3,230,932.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.