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Finding the Third Proportional to 684,084 and 1,485,000

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Solution

The third proportional to 684,084 and 1,485,000 is: 3,223,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,084 : 1,485,000 = 1,485,000 : x
  2. Step 2: Convert to fraction form
    684,084/1,485,000 = 1,485,000/x
  3. Step 3: Cross multiply
    684,084x = 1,485,000 × 1,485,000
  4. Step 4: Simplify right side
    684,084x = 2,205,225,000,000
  5. Step 5: Solve for x
    x = 2,205,225,000,000/684,084
  6. Step 6: Final answer
    x = 3,223,617.28

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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.