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Finding the Third Proportional to 1,471,916.25 and 3,118,635

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Solution

The third proportional to 1,471,916.25 and 3,118,635 is: 6,607,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,916.25 : 3,118,635 = 3,118,635 : x
  2. Step 2: Convert to fraction form
    1,471,916.25/3,118,635 = 3,118,635/x
  3. Step 3: Cross multiply
    1,471,916.25x = 3,118,635 × 3,118,635
  4. Step 4: Simplify right side
    1,471,916.25x = 9,725,884,263,225
  5. Step 5: Solve for x
    x = 9,725,884,263,225/1,471,916.25
  6. Step 6: Final answer
    x = 6,607,634.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.