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Finding the Third Proportional to 673,727 and 1,017,611

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Solution

The third proportional to 673,727 and 1,017,611 is: 1,537,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,727 : 1,017,611 = 1,017,611 : x
  2. Step 2: Convert to fraction form
    673,727/1,017,611 = 1,017,611/x
  3. Step 3: Cross multiply
    673,727x = 1,017,611 × 1,017,611
  4. Step 4: Simplify right side
    673,727x = 1,035,532,147,321
  5. Step 5: Solve for x
    x = 1,035,532,147,321/673,727
  6. Step 6: Final answer
    x = 1,537,020.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.