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Finding the Third Proportional to 1,697,900 and 2,414,010

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Solution

The third proportional to 1,697,900 and 2,414,010 is: 3,432,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,900 : 2,414,010 = 2,414,010 : x
  2. Step 2: Convert to fraction form
    1,697,900/2,414,010 = 2,414,010/x
  3. Step 3: Cross multiply
    1,697,900x = 2,414,010 × 2,414,010
  4. Step 4: Simplify right side
    1,697,900x = 5,827,444,280,100
  5. Step 5: Solve for x
    x = 5,827,444,280,100/1,697,900
  6. Step 6: Final answer
    x = 3,432,148.11

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.