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Finding the Third Proportional to 650,328 and 1,371,504

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Solution

The third proportional to 650,328 and 1,371,504 is: 2,892,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,328 : 1,371,504 = 1,371,504 : x
  2. Step 2: Convert to fraction form
    650,328/1,371,504 = 1,371,504/x
  3. Step 3: Cross multiply
    650,328x = 1,371,504 × 1,371,504
  4. Step 4: Simplify right side
    650,328x = 1,881,023,222,016
  5. Step 5: Solve for x
    x = 1,881,023,222,016/650,328
  6. Step 6: Final answer
    x = 2,892,422.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.