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Finding the Third Proportional to 544,913 and 1,187,913

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Solution

The third proportional to 544,913 and 1,187,913 is: 2,589,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,913 : 1,187,913 = 1,187,913 : x
  2. Step 2: Convert to fraction form
    544,913/1,187,913 = 1,187,913/x
  3. Step 3: Cross multiply
    544,913x = 1,187,913 × 1,187,913
  4. Step 4: Simplify right side
    544,913x = 1,411,137,295,569
  5. Step 5: Solve for x
    x = 1,411,137,295,569/544,913
  6. Step 6: Final answer
    x = 2,589,656.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.