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Finding the Third Proportional to 462,267 and 1,009,611

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Solution

The third proportional to 462,267 and 1,009,611 is: 2,205,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,267 : 1,009,611 = 1,009,611 : x
  2. Step 2: Convert to fraction form
    462,267/1,009,611 = 1,009,611/x
  3. Step 3: Cross multiply
    462,267x = 1,009,611 × 1,009,611
  4. Step 4: Simplify right side
    462,267x = 1,019,314,371,321
  5. Step 5: Solve for x
    x = 1,019,314,371,321/462,267
  6. Step 6: Final answer
    x = 2,205,033.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.