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Finding the Third Proportional to 771,332 and 1,661,197

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Solution

The third proportional to 771,332 and 1,661,197 is: 3,577,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,332 : 1,661,197 = 1,661,197 : x
  2. Step 2: Convert to fraction form
    771,332/1,661,197 = 1,661,197/x
  3. Step 3: Cross multiply
    771,332x = 1,661,197 × 1,661,197
  4. Step 4: Simplify right side
    771,332x = 2,759,575,472,809
  5. Step 5: Solve for x
    x = 2,759,575,472,809/771,332
  6. Step 6: Final answer
    x = 3,577,675.34

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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.