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Finding the Third Proportional to 1,203,889.50 and 1,650,830.63

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Solution

The third proportional to 1,203,889.50 and 1,650,830.63 is: 2,263,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,889.50 : 1,650,830.63 = 1,650,830.63 : x
  2. Step 2: Convert to fraction form
    1,203,889.50/1,650,830.63 = 1,650,830.63/x
  3. Step 3: Cross multiply
    1,203,889.50x = 1,650,830.63 × 1,650,830.63
  4. Step 4: Simplify right side
    1,203,889.50x = 2,725,241,752,437.89
  5. Step 5: Solve for x
    x = 2,725,241,752,437.89/1,203,889.50
  6. Step 6: Final answer
    x = 2,263,697.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.