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Finding the Third Proportional to 940,473 and 1,408,518

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Solution

The third proportional to 940,473 and 1,408,518 is: 2,109,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,473 : 1,408,518 = 1,408,518 : x
  2. Step 2: Convert to fraction form
    940,473/1,408,518 = 1,408,518/x
  3. Step 3: Cross multiply
    940,473x = 1,408,518 × 1,408,518
  4. Step 4: Simplify right side
    940,473x = 1,983,922,956,324
  5. Step 5: Solve for x
    x = 1,983,922,956,324/940,473
  6. Step 6: Final answer
    x = 2,109,494.86

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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.