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Finding the Third Proportional to 771,988 and 1,660,616

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Solution

The third proportional to 771,988 and 1,660,616 is: 3,572,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,988 : 1,660,616 = 1,660,616 : x
  2. Step 2: Convert to fraction form
    771,988/1,660,616 = 1,660,616/x
  3. Step 3: Cross multiply
    771,988x = 1,660,616 × 1,660,616
  4. Step 4: Simplify right side
    771,988x = 2,757,645,499,456
  5. Step 5: Solve for x
    x = 2,757,645,499,456/771,988
  6. Step 6: Final answer
    x = 3,572,135.19

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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.