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Finding the Third Proportional to 594,046 and 1,280,828

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Solution

The third proportional to 594,046 and 1,280,828 is: 2,761,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,046 : 1,280,828 = 1,280,828 : x
  2. Step 2: Convert to fraction form
    594,046/1,280,828 = 1,280,828/x
  3. Step 3: Cross multiply
    594,046x = 1,280,828 × 1,280,828
  4. Step 4: Simplify right side
    594,046x = 1,640,520,365,584
  5. Step 5: Solve for x
    x = 1,640,520,365,584/594,046
  6. Step 6: Final answer
    x = 2,761,604.94

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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.