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Finding the Third Proportional to 1,301,634 and 2,827,154

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Solution

The third proportional to 1,301,634 and 2,827,154 is: 6,140,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,634 : 2,827,154 = 2,827,154 : x
  2. Step 2: Convert to fraction form
    1,301,634/2,827,154 = 2,827,154/x
  3. Step 3: Cross multiply
    1,301,634x = 2,827,154 × 2,827,154
  4. Step 4: Simplify right side
    1,301,634x = 7,992,799,739,716
  5. Step 5: Solve for x
    x = 7,992,799,739,716/1,301,634
  6. Step 6: Final answer
    x = 6,140,589.24

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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.