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Finding the Third Proportional to 771,632 and 1,692,676

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Solution

The third proportional to 771,632 and 1,692,676 is: 3,713,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,632 : 1,692,676 = 1,692,676 : x
  2. Step 2: Convert to fraction form
    771,632/1,692,676 = 1,692,676/x
  3. Step 3: Cross multiply
    771,632x = 1,692,676 × 1,692,676
  4. Step 4: Simplify right side
    771,632x = 2,865,152,040,976
  5. Step 5: Solve for x
    x = 2,865,152,040,976/771,632
  6. Step 6: Final answer
    x = 3,713,106.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.