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Finding the Third Proportional to 2,153,715.75 and 3,334,424.06

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Solution

The third proportional to 2,153,715.75 and 3,334,424.06 is: 5,162,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,715.75 : 3,334,424.06 = 3,334,424.06 : x
  2. Step 2: Convert to fraction form
    2,153,715.75/3,334,424.06 = 3,334,424.06/x
  3. Step 3: Cross multiply
    2,153,715.75x = 3,334,424.06 × 3,334,424.06
  4. Step 4: Simplify right side
    2,153,715.75x = 11,118,383,828,579.00
  5. Step 5: Solve for x
    x = 11,118,383,828,579.00/2,153,715.75
  6. Step 6: Final answer
    x = 5,162,419.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.