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Finding the Third Proportional to 434,276 and 956,896

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Solution

The third proportional to 434,276 and 956,896 is: 2,108,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,276 : 956,896 = 956,896 : x
  2. Step 2: Convert to fraction form
    434,276/956,896 = 956,896/x
  3. Step 3: Cross multiply
    434,276x = 956,896 × 956,896
  4. Step 4: Simplify right side
    434,276x = 915,649,954,816
  5. Step 5: Solve for x
    x = 915,649,954,816/434,276
  6. Step 6: Final answer
    x = 2,108,451.66

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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.