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Finding the Third Proportional to 437,656 and 942,264

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Solution

The third proportional to 437,656 and 942,264 is: 2,028,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,656 : 942,264 = 942,264 : x
  2. Step 2: Convert to fraction form
    437,656/942,264 = 942,264/x
  3. Step 3: Cross multiply
    437,656x = 942,264 × 942,264
  4. Step 4: Simplify right side
    437,656x = 887,861,445,696
  5. Step 5: Solve for x
    x = 887,861,445,696/437,656
  6. Step 6: Final answer
    x = 2,028,674.22

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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.