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Finding the Third Proportional to 449,946 and 950,490

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Solution

The third proportional to 449,946 and 950,490 is: 2,007,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,946 : 950,490 = 950,490 : x
  2. Step 2: Convert to fraction form
    449,946/950,490 = 950,490/x
  3. Step 3: Cross multiply
    449,946x = 950,490 × 950,490
  4. Step 4: Simplify right side
    449,946x = 903,431,240,100
  5. Step 5: Solve for x
    x = 903,431,240,100/449,946
  6. Step 6: Final answer
    x = 2,007,865.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.