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Finding the Third Proportional to 425,244 and 911,544

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Solution

The third proportional to 425,244 and 911,544 is: 1,953,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,244 : 911,544 = 911,544 : x
  2. Step 2: Convert to fraction form
    425,244/911,544 = 911,544/x
  3. Step 3: Cross multiply
    425,244x = 911,544 × 911,544
  4. Step 4: Simplify right side
    425,244x = 830,912,463,936
  5. Step 5: Solve for x
    x = 830,912,463,936/425,244
  6. Step 6: Final answer
    x = 1,953,966.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.