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Finding the Third Proportional to 434,253 and 956,851

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Solution

The third proportional to 434,253 and 956,851 is: 2,108,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,253 : 956,851 = 956,851 : x
  2. Step 2: Convert to fraction form
    434,253/956,851 = 956,851/x
  3. Step 3: Cross multiply
    434,253x = 956,851 × 956,851
  4. Step 4: Simplify right side
    434,253x = 915,563,836,201
  5. Step 5: Solve for x
    x = 915,563,836,201/434,253
  6. Step 6: Final answer
    x = 2,108,365.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.