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Finding the Third Proportional to 557,880.75 and 1,208,466

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Solution

The third proportional to 557,880.75 and 1,208,466 is: 2,617,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,880.75 : 1,208,466 = 1,208,466 : x
  2. Step 2: Convert to fraction form
    557,880.75/1,208,466 = 1,208,466/x
  3. Step 3: Cross multiply
    557,880.75x = 1,208,466 × 1,208,466
  4. Step 4: Simplify right side
    557,880.75x = 1,460,390,073,156
  5. Step 5: Solve for x
    x = 1,460,390,073,156/557,880.75
  6. Step 6: Final answer
    x = 2,617,745.95

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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.