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Finding the Third Proportional to 587,979 and 1,246,611

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Solution

The third proportional to 587,979 and 1,246,611 is: 2,643,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,979 : 1,246,611 = 1,246,611 : x
  2. Step 2: Convert to fraction form
    587,979/1,246,611 = 1,246,611/x
  3. Step 3: Cross multiply
    587,979x = 1,246,611 × 1,246,611
  4. Step 4: Simplify right side
    587,979x = 1,554,038,985,321
  5. Step 5: Solve for x
    x = 1,554,038,985,321/587,979
  6. Step 6: Final answer
    x = 2,643,017.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.