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Finding the Third Proportional to 2,163,780 and 3,184,434

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Solution

The third proportional to 2,163,780 and 3,184,434 is: 4,686,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,780 : 3,184,434 = 3,184,434 : x
  2. Step 2: Convert to fraction form
    2,163,780/3,184,434 = 3,184,434/x
  3. Step 3: Cross multiply
    2,163,780x = 3,184,434 × 3,184,434
  4. Step 4: Simplify right side
    2,163,780x = 10,140,619,900,356
  5. Step 5: Solve for x
    x = 10,140,619,900,356/2,163,780
  6. Step 6: Final answer
    x = 4,686,530.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.