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Finding the Third Proportional to 482,787.84 and 1,048,537.41

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Solution

The third proportional to 482,787.84 and 1,048,537.41 is: 2,277,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,787.84 : 1,048,537.41 = 1,048,537.41 : x
  2. Step 2: Convert to fraction form
    482,787.84/1,048,537.41 = 1,048,537.41/x
  3. Step 3: Cross multiply
    482,787.84x = 1,048,537.41 × 1,048,537.41
  4. Step 4: Simplify right side
    482,787.84x = 1,099,430,692,305.48
  5. Step 5: Solve for x
    x = 1,099,430,692,305.48/482,787.84
  6. Step 6: Final answer
    x = 2,277,254.30

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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.