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Finding the Third Proportional to 1,214,674 and 2,812,030

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Solution

The third proportional to 1,214,674 and 2,812,030 is: 6,509,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,674 : 2,812,030 = 2,812,030 : x
  2. Step 2: Convert to fraction form
    1,214,674/2,812,030 = 2,812,030/x
  3. Step 3: Cross multiply
    1,214,674x = 2,812,030 × 2,812,030
  4. Step 4: Simplify right side
    1,214,674x = 7,907,512,720,900
  5. Step 5: Solve for x
    x = 7,907,512,720,900/1,214,674
  6. Step 6: Final answer
    x = 6,509,987.64

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.