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Finding the Third Proportional to 822,641.06 and 1,271,300.06

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Solution

The third proportional to 822,641.06 and 1,271,300.06 is: 1,964,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,641.06 : 1,271,300.06 = 1,271,300.06 : x
  2. Step 2: Convert to fraction form
    822,641.06/1,271,300.06 = 1,271,300.06/x
  3. Step 3: Cross multiply
    822,641.06x = 1,271,300.06 × 1,271,300.06
  4. Step 4: Simplify right side
    822,641.06x = 1,616,203,848,912.50
  5. Step 5: Solve for x
    x = 1,616,203,848,912.50/822,641.06
  6. Step 6: Final answer
    x = 1,964,652.54

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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.