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Finding the Third Proportional to 595,980 and 1,299,060

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Solution

The third proportional to 595,980 and 1,299,060 is: 2,831,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,980 : 1,299,060 = 1,299,060 : x
  2. Step 2: Convert to fraction form
    595,980/1,299,060 = 1,299,060/x
  3. Step 3: Cross multiply
    595,980x = 1,299,060 × 1,299,060
  4. Step 4: Simplify right side
    595,980x = 1,687,556,883,600
  5. Step 5: Solve for x
    x = 1,687,556,883,600/595,980
  6. Step 6: Final answer
    x = 2,831,566.30

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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.