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Finding the Third Proportional to 634,424 and 926,318

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Solution

The third proportional to 634,424 and 926,318 is: 1,352,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,424 : 926,318 = 926,318 : x
  2. Step 2: Convert to fraction form
    634,424/926,318 = 926,318/x
  3. Step 3: Cross multiply
    634,424x = 926,318 × 926,318
  4. Step 4: Simplify right side
    634,424x = 858,065,037,124
  5. Step 5: Solve for x
    x = 858,065,037,124/634,424
  6. Step 6: Final answer
    x = 1,352,510.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.