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Finding the Third Proportional to 434,974.22 and 955,054.13

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Solution

The third proportional to 434,974.22 and 955,054.13 is: 2,096,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,974.22 : 955,054.13 = 955,054.13 : x
  2. Step 2: Convert to fraction form
    434,974.22/955,054.13 = 955,054.13/x
  3. Step 3: Cross multiply
    434,974.22x = 955,054.13 × 955,054.13
  4. Step 4: Simplify right side
    434,974.22x = 912,128,381,679.52
  5. Step 5: Solve for x
    x = 912,128,381,679.52/434,974.22
  6. Step 6: Final answer
    x = 2,096,971.14

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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.