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Finding the Third Proportional to 697,341 and 1,501,022

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Solution

The third proportional to 697,341 and 1,501,022 is: 3,230,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,341 : 1,501,022 = 1,501,022 : x
  2. Step 2: Convert to fraction form
    697,341/1,501,022 = 1,501,022/x
  3. Step 3: Cross multiply
    697,341x = 1,501,022 × 1,501,022
  4. Step 4: Simplify right side
    697,341x = 2,253,067,044,484
  5. Step 5: Solve for x
    x = 2,253,067,044,484/697,341
  6. Step 6: Final answer
    x = 3,230,940.16

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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.