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Finding the Third Proportional to 856,980 and 1,636,200

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Solution

The third proportional to 856,980 and 1,636,200 is: 3,123,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,980 : 1,636,200 = 1,636,200 : x
  2. Step 2: Convert to fraction form
    856,980/1,636,200 = 1,636,200/x
  3. Step 3: Cross multiply
    856,980x = 1,636,200 × 1,636,200
  4. Step 4: Simplify right side
    856,980x = 2,677,150,440,000
  5. Step 5: Solve for x
    x = 2,677,150,440,000/856,980
  6. Step 6: Final answer
    x = 3,123,935.73

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.