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Finding the Third Proportional to 437,846 and 945,548

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Solution

The third proportional to 437,846 and 945,548 is: 2,041,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,846 : 945,548 = 945,548 : x
  2. Step 2: Convert to fraction form
    437,846/945,548 = 945,548/x
  3. Step 3: Cross multiply
    437,846x = 945,548 × 945,548
  4. Step 4: Simplify right side
    437,846x = 894,061,020,304
  5. Step 5: Solve for x
    x = 894,061,020,304/437,846
  6. Step 6: Final answer
    x = 2,041,953.15

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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.