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Finding the Third Proportional to 771,634 and 1,692,672

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Solution

The third proportional to 771,634 and 1,692,672 is: 3,713,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,634 : 1,692,672 = 1,692,672 : x
  2. Step 2: Convert to fraction form
    771,634/1,692,672 = 1,692,672/x
  3. Step 3: Cross multiply
    771,634x = 1,692,672 × 1,692,672
  4. Step 4: Simplify right side
    771,634x = 2,865,138,499,584
  5. Step 5: Solve for x
    x = 2,865,138,499,584/771,634
  6. Step 6: Final answer
    x = 3,713,079.65

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