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Finding the Third Proportional to 449,526 and 956,264

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Solution

The third proportional to 449,526 and 956,264 is: 2,034,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,526 : 956,264 = 956,264 : x
  2. Step 2: Convert to fraction form
    449,526/956,264 = 956,264/x
  3. Step 3: Cross multiply
    449,526x = 956,264 × 956,264
  4. Step 4: Simplify right side
    449,526x = 914,440,837,696
  5. Step 5: Solve for x
    x = 914,440,837,696/449,526
  6. Step 6: Final answer
    x = 2,034,233.48

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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.