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Finding the Third Proportional to 1,697,896 and 2,414,004

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Solution

The third proportional to 1,697,896 and 2,414,004 is: 3,432,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,896 : 2,414,004 = 2,414,004 : x
  2. Step 2: Convert to fraction form
    1,697,896/2,414,004 = 2,414,004/x
  3. Step 3: Cross multiply
    1,697,896x = 2,414,004 × 2,414,004
  4. Step 4: Simplify right side
    1,697,896x = 5,827,415,312,016
  5. Step 5: Solve for x
    x = 5,827,415,312,016/1,697,896
  6. Step 6: Final answer
    x = 3,432,139.14

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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.