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Finding the Third Proportional to 454,564 and 956,108

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Solution

The third proportional to 454,564 and 956,108 is: 2,011,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,564 : 956,108 = 956,108 : x
  2. Step 2: Convert to fraction form
    454,564/956,108 = 956,108/x
  3. Step 3: Cross multiply
    454,564x = 956,108 × 956,108
  4. Step 4: Simplify right side
    454,564x = 914,142,507,664
  5. Step 5: Solve for x
    x = 914,142,507,664/454,564
  6. Step 6: Final answer
    x = 2,011,031.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.