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Finding the Third Proportional to 595,906 and 851,259

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Solution

The third proportional to 595,906 and 851,259 is: 1,216,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,906 : 851,259 = 851,259 : x
  2. Step 2: Convert to fraction form
    595,906/851,259 = 851,259/x
  3. Step 3: Cross multiply
    595,906x = 851,259 × 851,259
  4. Step 4: Simplify right side
    595,906x = 724,641,885,081
  5. Step 5: Solve for x
    x = 724,641,885,081/595,906
  6. Step 6: Final answer
    x = 1,216,033.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.