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Finding the Third Proportional to 668,381 and 1,443,298

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Solution

The third proportional to 668,381 and 1,443,298 is: 3,116,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,381 : 1,443,298 = 1,443,298 : x
  2. Step 2: Convert to fraction form
    668,381/1,443,298 = 1,443,298/x
  3. Step 3: Cross multiply
    668,381x = 1,443,298 × 1,443,298
  4. Step 4: Simplify right side
    668,381x = 2,083,109,116,804
  5. Step 5: Solve for x
    x = 2,083,109,116,804/668,381
  6. Step 6: Final answer
    x = 3,116,649.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.