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Finding the Third Proportional to 468,264 and 1,011,408

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Solution

The third proportional to 468,264 and 1,011,408 is: 2,184,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,264 : 1,011,408 = 1,011,408 : x
  2. Step 2: Convert to fraction form
    468,264/1,011,408 = 1,011,408/x
  3. Step 3: Cross multiply
    468,264x = 1,011,408 × 1,011,408
  4. Step 4: Simplify right side
    468,264x = 1,022,946,142,464
  5. Step 5: Solve for x
    x = 1,022,946,142,464/468,264
  6. Step 6: Final answer
    x = 2,184,550.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.