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Finding the Third Proportional to 683,816 and 1,775,153

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Solution

The third proportional to 683,816 and 1,775,153 is: 4,608,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,816 : 1,775,153 = 1,775,153 : x
  2. Step 2: Convert to fraction form
    683,816/1,775,153 = 1,775,153/x
  3. Step 3: Cross multiply
    683,816x = 1,775,153 × 1,775,153
  4. Step 4: Simplify right side
    683,816x = 3,151,168,173,409
  5. Step 5: Solve for x
    x = 3,151,168,173,409/683,816
  6. Step 6: Final answer
    x = 4,608,210.65

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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.