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Finding the Third Proportional to 894,997 and 1,355,495

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Solution

The third proportional to 894,997 and 1,355,495 is: 2,052,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,997 : 1,355,495 = 1,355,495 : x
  2. Step 2: Convert to fraction form
    894,997/1,355,495 = 1,355,495/x
  3. Step 3: Cross multiply
    894,997x = 1,355,495 × 1,355,495
  4. Step 4: Simplify right side
    894,997x = 1,837,366,695,025
  5. Step 5: Solve for x
    x = 1,837,366,695,025/894,997
  6. Step 6: Final answer
    x = 2,052,930.56

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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.