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Finding the Third Proportional to 514,074 and 1,113,954

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Solution

The third proportional to 514,074 and 1,113,954 is: 2,413,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,074 : 1,113,954 = 1,113,954 : x
  2. Step 2: Convert to fraction form
    514,074/1,113,954 = 1,113,954/x
  3. Step 3: Cross multiply
    514,074x = 1,113,954 × 1,113,954
  4. Step 4: Simplify right side
    514,074x = 1,240,893,514,116
  5. Step 5: Solve for x
    x = 1,240,893,514,116/514,074
  6. Step 6: Final answer
    x = 2,413,842.20

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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.