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Finding the Third Proportional to 1,328,512 and 1,864,166

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Solution

The third proportional to 1,328,512 and 1,864,166 is: 2,615,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,512 : 1,864,166 = 1,864,166 : x
  2. Step 2: Convert to fraction form
    1,328,512/1,864,166 = 1,864,166/x
  3. Step 3: Cross multiply
    1,328,512x = 1,864,166 × 1,864,166
  4. Step 4: Simplify right side
    1,328,512x = 3,475,114,875,556
  5. Step 5: Solve for x
    x = 3,475,114,875,556/1,328,512
  6. Step 6: Final answer
    x = 2,615,794.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.