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Finding the Third Proportional to 435,943 and 940,682

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Solution

The third proportional to 435,943 and 940,682 is: 2,029,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,943 : 940,682 = 940,682 : x
  2. Step 2: Convert to fraction form
    435,943/940,682 = 940,682/x
  3. Step 3: Cross multiply
    435,943x = 940,682 × 940,682
  4. Step 4: Simplify right side
    435,943x = 884,882,625,124
  5. Step 5: Solve for x
    x = 884,882,625,124/435,943
  6. Step 6: Final answer
    x = 2,029,812.67

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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.