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Finding the Third Proportional to 1,328,208 and 1,940,029.50

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Solution

The third proportional to 1,328,208 and 1,940,029.50 is: 2,833,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,208 : 1,940,029.50 = 1,940,029.50 : x
  2. Step 2: Convert to fraction form
    1,328,208/1,940,029.50 = 1,940,029.50/x
  3. Step 3: Cross multiply
    1,328,208x = 1,940,029.50 × 1,940,029.50
  4. Step 4: Simplify right side
    1,328,208x = 3,763,714,460,870.25
  5. Step 5: Solve for x
    x = 3,763,714,460,870.25/1,328,208
  6. Step 6: Final answer
    x = 2,833,678.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.