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Finding the Third Proportional to 599,828.25 and 1,267,089

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Solution

The third proportional to 599,828.25 and 1,267,089 is: 2,676,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,828.25 : 1,267,089 = 1,267,089 : x
  2. Step 2: Convert to fraction form
    599,828.25/1,267,089 = 1,267,089/x
  3. Step 3: Cross multiply
    599,828.25x = 1,267,089 × 1,267,089
  4. Step 4: Simplify right side
    599,828.25x = 1,605,514,533,921
  5. Step 5: Solve for x
    x = 1,605,514,533,921/599,828.25
  6. Step 6: Final answer
    x = 2,676,623.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.