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Finding the Third Proportional to 437,664 and 942,284

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Solution

The third proportional to 437,664 and 942,284 is: 2,028,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,664 : 942,284 = 942,284 : x
  2. Step 2: Convert to fraction form
    437,664/942,284 = 942,284/x
  3. Step 3: Cross multiply
    437,664x = 942,284 × 942,284
  4. Step 4: Simplify right side
    437,664x = 887,899,136,656
  5. Step 5: Solve for x
    x = 887,899,136,656/437,664
  6. Step 6: Final answer
    x = 2,028,723.26

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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.