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Finding the Third Proportional to 428,594 and 933,380

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Solution

The third proportional to 428,594 and 933,380 is: 2,032,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,594 : 933,380 = 933,380 : x
  2. Step 2: Convert to fraction form
    428,594/933,380 = 933,380/x
  3. Step 3: Cross multiply
    428,594x = 933,380 × 933,380
  4. Step 4: Simplify right side
    428,594x = 871,198,224,400
  5. Step 5: Solve for x
    x = 871,198,224,400/428,594
  6. Step 6: Final answer
    x = 2,032,688.80

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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.