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Finding the Third Proportional to 1,056.09 and 1,606.92

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Solution

The third proportional to 1,056.09 and 1,606.92 is: 2,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.09 : 1,606.92 = 1,606.92 : x
  2. Step 2: Convert to fraction form
    1,056.09/1,606.92 = 1,606.92/x
  3. Step 3: Cross multiply
    1,056.09x = 1,606.92 × 1,606.92
  4. Step 4: Simplify right side
    1,056.09x = 2,582,197.91
  5. Step 5: Solve for x
    x = 2,582,197.91/1,056.09
  6. Step 6: Final answer
    x = 2,445.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.