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Finding the Third Proportional to 904,014 and 1,367,671.50

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Solution

The third proportional to 904,014 and 1,367,671.50 is: 2,069,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,014 : 1,367,671.50 = 1,367,671.50 : x
  2. Step 2: Convert to fraction form
    904,014/1,367,671.50 = 1,367,671.50/x
  3. Step 3: Cross multiply
    904,014x = 1,367,671.50 × 1,367,671.50
  4. Step 4: Simplify right side
    904,014x = 1,870,525,331,912.25
  5. Step 5: Solve for x
    x = 1,870,525,331,912.25/904,014
  6. Step 6: Final answer
    x = 2,069,133.15

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