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Finding the Third Proportional to 646,381 and 1,396,010

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Solution

The third proportional to 646,381 and 1,396,010 is: 3,015,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,381 : 1,396,010 = 1,396,010 : x
  2. Step 2: Convert to fraction form
    646,381/1,396,010 = 1,396,010/x
  3. Step 3: Cross multiply
    646,381x = 1,396,010 × 1,396,010
  4. Step 4: Simplify right side
    646,381x = 1,948,843,920,100
  5. Step 5: Solve for x
    x = 1,948,843,920,100/646,381
  6. Step 6: Final answer
    x = 3,015,008.05

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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.