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Finding the Third Proportional to 621,023 and 1,264,884

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Solution

The third proportional to 621,023 and 1,264,884 is: 2,576,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,023 : 1,264,884 = 1,264,884 : x
  2. Step 2: Convert to fraction form
    621,023/1,264,884 = 1,264,884/x
  3. Step 3: Cross multiply
    621,023x = 1,264,884 × 1,264,884
  4. Step 4: Simplify right side
    621,023x = 1,599,931,533,456
  5. Step 5: Solve for x
    x = 1,599,931,533,456/621,023
  6. Step 6: Final answer
    x = 2,576,283.86

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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.