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Finding the Third Proportional to 449,521 and 956,254

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Solution

The third proportional to 449,521 and 956,254 is: 2,034,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,521 : 956,254 = 956,254 : x
  2. Step 2: Convert to fraction form
    449,521/956,254 = 956,254/x
  3. Step 3: Cross multiply
    449,521x = 956,254 × 956,254
  4. Step 4: Simplify right side
    449,521x = 914,421,712,516
  5. Step 5: Solve for x
    x = 914,421,712,516/449,521
  6. Step 6: Final answer
    x = 2,034,213.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.