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Finding the Third Proportional to 2,725,461 and 3,969,877.50

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Solution

The third proportional to 2,725,461 and 3,969,877.50 is: 5,782,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,461 : 3,969,877.50 = 3,969,877.50 : x
  2. Step 2: Convert to fraction form
    2,725,461/3,969,877.50 = 3,969,877.50/x
  3. Step 3: Cross multiply
    2,725,461x = 3,969,877.50 × 3,969,877.50
  4. Step 4: Simplify right side
    2,725,461x = 15,759,927,365,006.25
  5. Step 5: Solve for x
    x = 15,759,927,365,006.25/2,725,461
  6. Step 6: Final answer
    x = 5,782,481.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.