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Finding the Third Proportional to 454,052 and 955,153

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Solution

The third proportional to 454,052 and 955,153 is: 2,009,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,052 : 955,153 = 955,153 : x
  2. Step 2: Convert to fraction form
    454,052/955,153 = 955,153/x
  3. Step 3: Cross multiply
    454,052x = 955,153 × 955,153
  4. Step 4: Simplify right side
    454,052x = 912,317,253,409
  5. Step 5: Solve for x
    x = 912,317,253,409/454,052
  6. Step 6: Final answer
    x = 2,009,279.23

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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.