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Finding the Third Proportional to 2,569,686 and 3,615,485

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Solution

The third proportional to 2,569,686 and 3,615,485 is: 5,086,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,686 : 3,615,485 = 3,615,485 : x
  2. Step 2: Convert to fraction form
    2,569,686/3,615,485 = 3,615,485/x
  3. Step 3: Cross multiply
    2,569,686x = 3,615,485 × 3,615,485
  4. Step 4: Simplify right side
    2,569,686x = 13,071,731,785,225
  5. Step 5: Solve for x
    x = 13,071,731,785,225/2,569,686
  6. Step 6: Final answer
    x = 5,086,898.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.