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Finding the Third Proportional to 1,025,384.06 and 1,591,817.06

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Solution

The third proportional to 1,025,384.06 and 1,591,817.06 is: 2,471,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,384.06 : 1,591,817.06 = 1,591,817.06 : x
  2. Step 2: Convert to fraction form
    1,025,384.06/1,591,817.06 = 1,591,817.06/x
  3. Step 3: Cross multiply
    1,025,384.06x = 1,591,817.06 × 1,591,817.06
  4. Step 4: Simplify right side
    1,025,384.06x = 2,533,881,560,466.13
  5. Step 5: Solve for x
    x = 2,533,881,560,466.13/1,025,384.06
  6. Step 6: Final answer
    x = 2,471,153.64

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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.