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Finding the Third Proportional to 771,274 and 1,660,972

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Solution

The third proportional to 771,274 and 1,660,972 is: 3,576,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,274 : 1,660,972 = 1,660,972 : x
  2. Step 2: Convert to fraction form
    771,274/1,660,972 = 1,660,972/x
  3. Step 3: Cross multiply
    771,274x = 1,660,972 × 1,660,972
  4. Step 4: Simplify right side
    771,274x = 2,758,827,984,784
  5. Step 5: Solve for x
    x = 2,758,827,984,784/771,274
  6. Step 6: Final answer
    x = 3,576,975.22

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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.