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Finding the Third Proportional to 2,545,094 and 5,454,513

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Solution

The third proportional to 2,545,094 and 5,454,513 is: 11,689,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545,094 : 5,454,513 = 5,454,513 : x
  2. Step 2: Convert to fraction form
    2,545,094/5,454,513 = 5,454,513/x
  3. Step 3: Cross multiply
    2,545,094x = 5,454,513 × 5,454,513
  4. Step 4: Simplify right side
    2,545,094x = 29,751,712,067,169
  5. Step 5: Solve for x
    x = 29,751,712,067,169/2,545,094
  6. Step 6: Final answer
    x = 11,689,828.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.