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Finding the Third Proportional to 594,723 and 957,591

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Solution

The third proportional to 594,723 and 957,591 is: 1,541,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,723 : 957,591 = 957,591 : x
  2. Step 2: Convert to fraction form
    594,723/957,591 = 957,591/x
  3. Step 3: Cross multiply
    594,723x = 957,591 × 957,591
  4. Step 4: Simplify right side
    594,723x = 916,980,523,281
  5. Step 5: Solve for x
    x = 916,980,523,281/594,723
  6. Step 6: Final answer
    x = 1,541,861.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.