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Finding the Third Proportional to 751,824 and 1,621,012.50

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Solution

The third proportional to 751,824 and 1,621,012.50 is: 3,495,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,824 : 1,621,012.50 = 1,621,012.50 : x
  2. Step 2: Convert to fraction form
    751,824/1,621,012.50 = 1,621,012.50/x
  3. Step 3: Cross multiply
    751,824x = 1,621,012.50 × 1,621,012.50
  4. Step 4: Simplify right side
    751,824x = 2,627,681,525,156.25
  5. Step 5: Solve for x
    x = 2,627,681,525,156.25/751,824
  6. Step 6: Final answer
    x = 3,495,075.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.