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Finding the Third Proportional to 1,294,096.50 and 2,722,055.63

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Solution

The third proportional to 1,294,096.50 and 2,722,055.63 is: 5,725,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,096.50 : 2,722,055.63 = 2,722,055.63 : x
  2. Step 2: Convert to fraction form
    1,294,096.50/2,722,055.63 = 2,722,055.63/x
  3. Step 3: Cross multiply
    1,294,096.50x = 2,722,055.63 × 2,722,055.63
  4. Step 4: Simplify right side
    1,294,096.50x = 7,409,586,825,594.14
  5. Step 5: Solve for x
    x = 7,409,586,825,594.14/1,294,096.50
  6. Step 6: Final answer
    x = 5,725,683.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.