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Finding the Third Proportional to 817,740,240 and 1,785,346,839

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Solution

The third proportional to 817,740,240 and 1,785,346,839 is: 3,897,892,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,740,240 : 1,785,346,839 = 1,785,346,839 : x
  2. Step 2: Convert to fraction form
    817,740,240/1,785,346,839 = 1,785,346,839/x
  3. Step 3: Cross multiply
    817,740,240x = 1,785,346,839 × 1,785,346,839
  4. Step 4: Simplify right side
    817,740,240x = 3,187,463,335,527,291,904
  5. Step 5: Solve for x
    x = 3,187,463,335,527,291,904/817,740,240
  6. Step 6: Final answer
    x = 3,897,892,239.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.