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Finding the Third Proportional to 2,946,734 and 4,159,299

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Solution

The third proportional to 2,946,734 and 4,159,299 is: 5,870,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946,734 : 4,159,299 = 4,159,299 : x
  2. Step 2: Convert to fraction form
    2,946,734/4,159,299 = 4,159,299/x
  3. Step 3: Cross multiply
    2,946,734x = 4,159,299 × 4,159,299
  4. Step 4: Simplify right side
    2,946,734x = 17,299,768,171,401
  5. Step 5: Solve for x
    x = 17,299,768,171,401/2,946,734
  6. Step 6: Final answer
    x = 5,870,827.90

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.