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Finding the Third Proportional to 437,891 and 943,309

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Solution

The third proportional to 437,891 and 943,309 is: 2,032,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,891 : 943,309 = 943,309 : x
  2. Step 2: Convert to fraction form
    437,891/943,309 = 943,309/x
  3. Step 3: Cross multiply
    437,891x = 943,309 × 943,309
  4. Step 4: Simplify right side
    437,891x = 889,831,869,481
  5. Step 5: Solve for x
    x = 889,831,869,481/437,891
  6. Step 6: Final answer
    x = 2,032,085.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.