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Finding the Third Proportional to 594,214 and 1,280,828.75

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Solution

The third proportional to 594,214 and 1,280,828.75 is: 2,760,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,214 : 1,280,828.75 = 1,280,828.75 : x
  2. Step 2: Convert to fraction form
    594,214/1,280,828.75 = 1,280,828.75/x
  3. Step 3: Cross multiply
    594,214x = 1,280,828.75 × 1,280,828.75
  4. Step 4: Simplify right side
    594,214x = 1,640,522,286,826.56
  5. Step 5: Solve for x
    x = 1,640,522,286,826.56/594,214
  6. Step 6: Final answer
    x = 2,760,827.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.