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Finding the Third Proportional to 428,659 and 933,511

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Solution

The third proportional to 428,659 and 933,511 is: 2,032,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,659 : 933,511 = 933,511 : x
  2. Step 2: Convert to fraction form
    428,659/933,511 = 933,511/x
  3. Step 3: Cross multiply
    428,659x = 933,511 × 933,511
  4. Step 4: Simplify right side
    428,659x = 871,442,787,121
  5. Step 5: Solve for x
    x = 871,442,787,121/428,659
  6. Step 6: Final answer
    x = 2,032,951.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.