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Finding the Third Proportional to 1,333,796.63 and 2,806,976.53

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Solution

The third proportional to 1,333,796.63 and 2,806,976.53 is: 5,907,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333,796.63 : 2,806,976.53 = 2,806,976.53 : x
  2. Step 2: Convert to fraction form
    1,333,796.63/2,806,976.53 = 2,806,976.53/x
  3. Step 3: Cross multiply
    1,333,796.63x = 2,806,976.53 × 2,806,976.53
  4. Step 4: Simplify right side
    1,333,796.63x = 7,879,117,246,988.28
  5. Step 5: Solve for x
    x = 7,879,117,246,988.28/1,333,796.63
  6. Step 6: Final answer
    x = 5,907,285.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.