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Finding the Third Proportional to 466,738 and 953,186

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Solution

The third proportional to 466,738 and 953,186 is: 1,946,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,738 : 953,186 = 953,186 : x
  2. Step 2: Convert to fraction form
    466,738/953,186 = 953,186/x
  3. Step 3: Cross multiply
    466,738x = 953,186 × 953,186
  4. Step 4: Simplify right side
    466,738x = 908,563,550,596
  5. Step 5: Solve for x
    x = 908,563,550,596/466,738
  6. Step 6: Final answer
    x = 1,946,624.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.