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Finding the Third Proportional to 621,024 and 1,264,886

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Solution

The third proportional to 621,024 and 1,264,886 is: 2,576,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,024 : 1,264,886 = 1,264,886 : x
  2. Step 2: Convert to fraction form
    621,024/1,264,886 = 1,264,886/x
  3. Step 3: Cross multiply
    621,024x = 1,264,886 × 1,264,886
  4. Step 4: Simplify right side
    621,024x = 1,599,936,592,996
  5. Step 5: Solve for x
    x = 1,599,936,592,996/621,024
  6. Step 6: Final answer
    x = 2,576,287.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.