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Finding the Third Proportional to 940,475 and 1,408,521

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Solution

The third proportional to 940,475 and 1,408,521 is: 2,109,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,475 : 1,408,521 = 1,408,521 : x
  2. Step 2: Convert to fraction form
    940,475/1,408,521 = 1,408,521/x
  3. Step 3: Cross multiply
    940,475x = 1,408,521 × 1,408,521
  4. Step 4: Simplify right side
    940,475x = 1,983,931,407,441
  5. Step 5: Solve for x
    x = 1,983,931,407,441/940,475
  6. Step 6: Final answer
    x = 2,109,499.36

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