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Finding the Third Proportional to 749,076.40 and 1,650,847.08

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Solution

The third proportional to 749,076.40 and 1,650,847.08 is: 3,638,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,076.40 : 1,650,847.08 = 1,650,847.08 : x
  2. Step 2: Convert to fraction form
    749,076.40/1,650,847.08 = 1,650,847.08/x
  3. Step 3: Cross multiply
    749,076.40x = 1,650,847.08 × 1,650,847.08
  4. Step 4: Simplify right side
    749,076.40x = 2,725,296,075,353.85
  5. Step 5: Solve for x
    x = 2,725,296,075,353.85/749,076.40
  6. Step 6: Final answer
    x = 3,638,208.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.