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Finding the Third Proportional to 918,816 and 1,948,800

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Solution

The third proportional to 918,816 and 1,948,800 is: 4,133,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,816 : 1,948,800 = 1,948,800 : x
  2. Step 2: Convert to fraction form
    918,816/1,948,800 = 1,948,800/x
  3. Step 3: Cross multiply
    918,816x = 1,948,800 × 1,948,800
  4. Step 4: Simplify right side
    918,816x = 3,797,821,440,000
  5. Step 5: Solve for x
    x = 3,797,821,440,000/918,816
  6. Step 6: Final answer
    x = 4,133,386.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.