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Finding the Third Proportional to 1,138,232 and 1,714,856

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Solution

The third proportional to 1,138,232 and 1,714,856 is: 2,583,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,232 : 1,714,856 = 1,714,856 : x
  2. Step 2: Convert to fraction form
    1,138,232/1,714,856 = 1,714,856/x
  3. Step 3: Cross multiply
    1,138,232x = 1,714,856 × 1,714,856
  4. Step 4: Simplify right side
    1,138,232x = 2,940,731,100,736
  5. Step 5: Solve for x
    x = 2,940,731,100,736/1,138,232
  6. Step 6: Final answer
    x = 2,583,595.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.