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Finding the Third Proportional to 1,294,106 and 2,722,038

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Solution

The third proportional to 1,294,106 and 2,722,038 is: 5,725,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,106 : 2,722,038 = 2,722,038 : x
  2. Step 2: Convert to fraction form
    1,294,106/2,722,038 = 2,722,038/x
  3. Step 3: Cross multiply
    1,294,106x = 2,722,038 × 2,722,038
  4. Step 4: Simplify right side
    1,294,106x = 7,409,490,873,444
  5. Step 5: Solve for x
    x = 7,409,490,873,444/1,294,106
  6. Step 6: Final answer
    x = 5,725,567.21

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