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Finding the Third Proportional to 2,857,539.94 and 4,073,471.44

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Solution

The third proportional to 2,857,539.94 and 4,073,471.44 is: 5,806,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,539.94 : 4,073,471.44 = 4,073,471.44 : x
  2. Step 2: Convert to fraction form
    2,857,539.94/4,073,471.44 = 4,073,471.44/x
  3. Step 3: Cross multiply
    2,857,539.94x = 4,073,471.44 × 4,073,471.44
  4. Step 4: Simplify right side
    2,857,539.94x = 16,593,169,552,128.32
  5. Step 5: Solve for x
    x = 16,593,169,552,128.32/2,857,539.94
  6. Step 6: Final answer
    x = 5,806,802.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.