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Finding the Third Proportional to 1,782,429 and 3,848,943

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Solution

The third proportional to 1,782,429 and 3,848,943 is: 8,311,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,429 : 3,848,943 = 3,848,943 : x
  2. Step 2: Convert to fraction form
    1,782,429/3,848,943 = 3,848,943/x
  3. Step 3: Cross multiply
    1,782,429x = 3,848,943 × 3,848,943
  4. Step 4: Simplify right side
    1,782,429x = 14,814,362,217,249
  5. Step 5: Solve for x
    x = 14,814,362,217,249/1,782,429
  6. Step 6: Final answer
    x = 8,311,333.70

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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.