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Finding the Third Proportional to 2,445,434 and 5,754,006

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Solution

The third proportional to 2,445,434 and 5,754,006 is: 13,538,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445,434 : 5,754,006 = 5,754,006 : x
  2. Step 2: Convert to fraction form
    2,445,434/5,754,006 = 5,754,006/x
  3. Step 3: Cross multiply
    2,445,434x = 5,754,006 × 5,754,006
  4. Step 4: Simplify right side
    2,445,434x = 33,108,585,048,036
  5. Step 5: Solve for x
    x = 33,108,585,048,036/2,445,434
  6. Step 6: Final answer
    x = 13,538,940.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.