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Finding the Third Proportional to 904,068 and 1,400,652

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Solution

The third proportional to 904,068 and 1,400,652 is: 2,169,998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,068 : 1,400,652 = 1,400,652 : x
  2. Step 2: Convert to fraction form
    904,068/1,400,652 = 1,400,652/x
  3. Step 3: Cross multiply
    904,068x = 1,400,652 × 1,400,652
  4. Step 4: Simplify right side
    904,068x = 1,961,826,025,104
  5. Step 5: Solve for x
    x = 1,961,826,025,104/904,068
  6. Step 6: Final answer
    x = 2,169,998.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.