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Finding the Third Proportional to 940,194 and 1,412,363

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Solution

The third proportional to 940,194 and 1,412,363 is: 2,121,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,194 : 1,412,363 = 1,412,363 : x
  2. Step 2: Convert to fraction form
    940,194/1,412,363 = 1,412,363/x
  3. Step 3: Cross multiply
    940,194x = 1,412,363 × 1,412,363
  4. Step 4: Simplify right side
    940,194x = 1,994,769,243,769
  5. Step 5: Solve for x
    x = 1,994,769,243,769/940,194
  6. Step 6: Final answer
    x = 2,121,657.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.