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Finding the Third Proportional to 771,345 and 1,661,226

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Solution

The third proportional to 771,345 and 1,661,226 is: 3,577,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,345 : 1,661,226 = 1,661,226 : x
  2. Step 2: Convert to fraction form
    771,345/1,661,226 = 1,661,226/x
  3. Step 3: Cross multiply
    771,345x = 1,661,226 × 1,661,226
  4. Step 4: Simplify right side
    771,345x = 2,759,671,823,076
  5. Step 5: Solve for x
    x = 2,759,671,823,076/771,345
  6. Step 6: Final answer
    x = 3,577,739.95

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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.