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Finding the Third Proportional to 594,802 and 921,318

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Solution

The third proportional to 594,802 and 921,318 is: 1,427,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,802 : 921,318 = 921,318 : x
  2. Step 2: Convert to fraction form
    594,802/921,318 = 921,318/x
  3. Step 3: Cross multiply
    594,802x = 921,318 × 921,318
  4. Step 4: Simplify right side
    594,802x = 848,826,857,124
  5. Step 5: Solve for x
    x = 848,826,857,124/594,802
  6. Step 6: Final answer
    x = 1,427,074.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.