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Finding the Third Proportional to 437,840 and 945,536

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Solution

The third proportional to 437,840 and 945,536 is: 2,041,929.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,840 : 945,536 = 945,536 : x
  2. Step 2: Convert to fraction form
    437,840/945,536 = 945,536/x
  3. Step 3: Cross multiply
    437,840x = 945,536 × 945,536
  4. Step 4: Simplify right side
    437,840x = 894,038,327,296
  5. Step 5: Solve for x
    x = 894,038,327,296/437,840
  6. Step 6: Final answer
    x = 2,041,929.31

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Why These Related Problems?

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