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Finding the Third Proportional to 607,164 and 905,820

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Solution

The third proportional to 607,164 and 905,820 is: 1,351,380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,164 : 905,820 = 905,820 : x
  2. Step 2: Convert to fraction form
    607,164/905,820 = 905,820/x
  3. Step 3: Cross multiply
    607,164x = 905,820 × 905,820
  4. Step 4: Simplify right side
    607,164x = 820,509,872,400
  5. Step 5: Solve for x
    x = 820,509,872,400/607,164
  6. Step 6: Final answer
    x = 1,351,380.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.