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Finding the Third Proportional to 867,701 and 1,777,683

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Solution

The third proportional to 867,701 and 1,777,683 is: 3,641,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,701 : 1,777,683 = 1,777,683 : x
  2. Step 2: Convert to fraction form
    867,701/1,777,683 = 1,777,683/x
  3. Step 3: Cross multiply
    867,701x = 1,777,683 × 1,777,683
  4. Step 4: Simplify right side
    867,701x = 3,160,156,848,489
  5. Step 5: Solve for x
    x = 3,160,156,848,489/867,701
  6. Step 6: Final answer
    x = 3,641,988.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.