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Finding the Third Proportional to 615,826.13 and 922,815.56

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Solution

The third proportional to 615,826.13 and 922,815.56 is: 1,382,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,826.13 : 922,815.56 = 922,815.56 : x
  2. Step 2: Convert to fraction form
    615,826.13/922,815.56 = 922,815.56/x
  3. Step 3: Cross multiply
    615,826.13x = 922,815.56 × 922,815.56
  4. Step 4: Simplify right side
    615,826.13x = 851,588,562,392.19
  5. Step 5: Solve for x
    x = 851,588,562,392.19/615,826.13
  6. Step 6: Final answer
    x = 1,382,839.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.