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Finding the Third Proportional to 2,184,710 and 4,474,396

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Solution

The third proportional to 2,184,710 and 4,474,396 is: 9,163,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,710 : 4,474,396 = 4,474,396 : x
  2. Step 2: Convert to fraction form
    2,184,710/4,474,396 = 4,474,396/x
  3. Step 3: Cross multiply
    2,184,710x = 4,474,396 × 4,474,396
  4. Step 4: Simplify right side
    2,184,710x = 20,020,219,564,816
  5. Step 5: Solve for x
    x = 20,020,219,564,816/2,184,710
  6. Step 6: Final answer
    x = 9,163,788.13

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.