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Finding the Third Proportional to 940,176 and 1,412,346

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Solution

The third proportional to 940,176 and 1,412,346 is: 2,121,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,176 : 1,412,346 = 1,412,346 : x
  2. Step 2: Convert to fraction form
    940,176/1,412,346 = 1,412,346/x
  3. Step 3: Cross multiply
    940,176x = 1,412,346 × 1,412,346
  4. Step 4: Simplify right side
    940,176x = 1,994,721,223,716
  5. Step 5: Solve for x
    x = 1,994,721,223,716/940,176
  6. Step 6: Final answer
    x = 2,121,646.61

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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.