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Finding the Third Proportional to 804,859,048 and 1,724,456,912

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Solution

The third proportional to 804,859,048 and 1,724,456,912 is: 3,694,748,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,859,048 : 1,724,456,912 = 1,724,456,912 : x
  2. Step 2: Convert to fraction form
    804,859,048/1,724,456,912 = 1,724,456,912/x
  3. Step 3: Cross multiply
    804,859,048x = 1,724,456,912 × 1,724,456,912
  4. Step 4: Simplify right side
    804,859,048x = 2,973,751,641,344,575,488
  5. Step 5: Solve for x
    x = 2,973,751,641,344,575,488/804,859,048
  6. Step 6: Final answer
    x = 3,694,748,352.19

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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.