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Finding the Third Proportional to 1,602,693 and 3,454,218

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Solution

The third proportional to 1,602,693 and 3,454,218 is: 7,444,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,693 : 3,454,218 = 3,454,218 : x
  2. Step 2: Convert to fraction form
    1,602,693/3,454,218 = 3,454,218/x
  3. Step 3: Cross multiply
    1,602,693x = 3,454,218 × 3,454,218
  4. Step 4: Simplify right side
    1,602,693x = 11,931,621,991,524
  5. Step 5: Solve for x
    x = 11,931,621,991,524/1,602,693
  6. Step 6: Final answer
    x = 7,444,733.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.