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Finding the Third Proportional to 489,299 and 1,060,024

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Solution

The third proportional to 489,299 and 1,060,024 is: 2,296,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,299 : 1,060,024 = 1,060,024 : x
  2. Step 2: Convert to fraction form
    489,299/1,060,024 = 1,060,024/x
  3. Step 3: Cross multiply
    489,299x = 1,060,024 × 1,060,024
  4. Step 4: Simplify right side
    489,299x = 1,123,650,880,576
  5. Step 5: Solve for x
    x = 1,123,650,880,576/489,299
  6. Step 6: Final answer
    x = 2,296,450.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.