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Finding the Third Proportional to 1,236,572 and 2,684,641

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Solution

The third proportional to 1,236,572 and 2,684,641 is: 5,828,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,572 : 2,684,641 = 2,684,641 : x
  2. Step 2: Convert to fraction form
    1,236,572/2,684,641 = 2,684,641/x
  3. Step 3: Cross multiply
    1,236,572x = 2,684,641 × 2,684,641
  4. Step 4: Simplify right side
    1,236,572x = 7,207,297,298,881
  5. Step 5: Solve for x
    x = 7,207,297,298,881/1,236,572
  6. Step 6: Final answer
    x = 5,828,449.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.