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Finding the Third Proportional to 607,152 and 905,805

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Solution

The third proportional to 607,152 and 905,805 is: 1,351,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,152 : 905,805 = 905,805 : x
  2. Step 2: Convert to fraction form
    607,152/905,805 = 905,805/x
  3. Step 3: Cross multiply
    607,152x = 905,805 × 905,805
  4. Step 4: Simplify right side
    607,152x = 820,482,698,025
  5. Step 5: Solve for x
    x = 820,482,698,025/607,152
  6. Step 6: Final answer
    x = 1,351,362.92

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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.