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Finding the Third Proportional to 1,782,315 and 3,848,719

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Solution

The third proportional to 1,782,315 and 3,848,719 is: 8,310,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,315 : 3,848,719 = 3,848,719 : x
  2. Step 2: Convert to fraction form
    1,782,315/3,848,719 = 3,848,719/x
  3. Step 3: Cross multiply
    1,782,315x = 3,848,719 × 3,848,719
  4. Step 4: Simplify right side
    1,782,315x = 14,812,637,940,961
  5. Step 5: Solve for x
    x = 14,812,637,940,961/1,782,315
  6. Step 6: Final answer
    x = 8,310,897.87

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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.