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Finding the Third Proportional to 428,610 and 933,416

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Solution

The third proportional to 428,610 and 933,416 is: 2,032,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,610 : 933,416 = 933,416 : x
  2. Step 2: Convert to fraction form
    428,610/933,416 = 933,416/x
  3. Step 3: Cross multiply
    428,610x = 933,416 × 933,416
  4. Step 4: Simplify right side
    428,610x = 871,265,429,056
  5. Step 5: Solve for x
    x = 871,265,429,056/428,610
  6. Step 6: Final answer
    x = 2,032,769.72

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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.