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Finding the Third Proportional to 894,742 and 1,355,146

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Solution

The third proportional to 894,742 and 1,355,146 is: 2,052,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,742 : 1,355,146 = 1,355,146 : x
  2. Step 2: Convert to fraction form
    894,742/1,355,146 = 1,355,146/x
  3. Step 3: Cross multiply
    894,742x = 1,355,146 × 1,355,146
  4. Step 4: Simplify right side
    894,742x = 1,836,420,681,316
  5. Step 5: Solve for x
    x = 1,836,420,681,316/894,742
  6. Step 6: Final answer
    x = 2,052,458.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.