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Finding the Third Proportional to 678,988 and 1,474,750

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Solution

The third proportional to 678,988 and 1,474,750 is: 3,203,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,988 : 1,474,750 = 1,474,750 : x
  2. Step 2: Convert to fraction form
    678,988/1,474,750 = 1,474,750/x
  3. Step 3: Cross multiply
    678,988x = 1,474,750 × 1,474,750
  4. Step 4: Simplify right side
    678,988x = 2,174,887,562,500
  5. Step 5: Solve for x
    x = 2,174,887,562,500/678,988
  6. Step 6: Final answer
    x = 3,203,131.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.