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Finding the Third Proportional to 451,330 and 973,190

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Solution

The third proportional to 451,330 and 973,190 is: 2,098,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,330 : 973,190 = 973,190 : x
  2. Step 2: Convert to fraction form
    451,330/973,190 = 973,190/x
  3. Step 3: Cross multiply
    451,330x = 973,190 × 973,190
  4. Step 4: Simplify right side
    451,330x = 947,098,776,100
  5. Step 5: Solve for x
    x = 947,098,776,100/451,330
  6. Step 6: Final answer
    x = 2,098,461.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.