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Finding the Third Proportional to 437,725 and 940,840

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Solution

The third proportional to 437,725 and 940,840 is: 2,022,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,725 : 940,840 = 940,840 : x
  2. Step 2: Convert to fraction form
    437,725/940,840 = 940,840/x
  3. Step 3: Cross multiply
    437,725x = 940,840 × 940,840
  4. Step 4: Simplify right side
    437,725x = 885,179,905,600
  5. Step 5: Solve for x
    x = 885,179,905,600/437,725
  6. Step 6: Final answer
    x = 2,022,228.35

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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.