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Finding the Third Proportional to 1,470.81 and 2,057.19

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Solution

The third proportional to 1,470.81 and 2,057.19 is: 2,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.81 : 2,057.19 = 2,057.19 : x
  2. Step 2: Convert to fraction form
    1,470.81/2,057.19 = 2,057.19/x
  3. Step 3: Cross multiply
    1,470.81x = 2,057.19 × 2,057.19
  4. Step 4: Simplify right side
    1,470.81x = 4,232,048.54
  5. Step 5: Solve for x
    x = 4,232,048.54/1,470.81
  6. Step 6: Final answer
    x = 2,877.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.