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Finding the Third Proportional to 597,970 and 926,844

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Solution

The third proportional to 597,970 and 926,844 is: 1,436,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,970 : 926,844 = 926,844 : x
  2. Step 2: Convert to fraction form
    597,970/926,844 = 926,844/x
  3. Step 3: Cross multiply
    597,970x = 926,844 × 926,844
  4. Step 4: Simplify right side
    597,970x = 859,039,800,336
  5. Step 5: Solve for x
    x = 859,039,800,336/597,970
  6. Step 6: Final answer
    x = 1,436,593.48

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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.