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Finding the Third Proportional to 599,323 and 1,309,089

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Solution

The third proportional to 599,323 and 1,309,089 is: 2,859,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,323 : 1,309,089 = 1,309,089 : x
  2. Step 2: Convert to fraction form
    599,323/1,309,089 = 1,309,089/x
  3. Step 3: Cross multiply
    599,323x = 1,309,089 × 1,309,089
  4. Step 4: Simplify right side
    599,323x = 1,713,714,009,921
  5. Step 5: Solve for x
    x = 1,713,714,009,921/599,323
  6. Step 6: Final answer
    x = 2,859,416.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.