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Finding the Third Proportional to 621,025 and 1,264,888

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Solution

The third proportional to 621,025 and 1,264,888 is: 2,576,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,025 : 1,264,888 = 1,264,888 : x
  2. Step 2: Convert to fraction form
    621,025/1,264,888 = 1,264,888/x
  3. Step 3: Cross multiply
    621,025x = 1,264,888 × 1,264,888
  4. Step 4: Simplify right side
    621,025x = 1,599,941,652,544
  5. Step 5: Solve for x
    x = 1,599,941,652,544/621,025
  6. Step 6: Final answer
    x = 2,576,291.86

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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.