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Finding the Third Proportional to 437,969 and 830,141

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Solution

The third proportional to 437,969 and 830,141 is: 1,573,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,969 : 830,141 = 830,141 : x
  2. Step 2: Convert to fraction form
    437,969/830,141 = 830,141/x
  3. Step 3: Cross multiply
    437,969x = 830,141 × 830,141
  4. Step 4: Simplify right side
    437,969x = 689,134,079,881
  5. Step 5: Solve for x
    x = 689,134,079,881/437,969
  6. Step 6: Final answer
    x = 1,573,476.84

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.