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Finding the Third Proportional to 1,410,205.50 and 2,148,347.25

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Solution

The third proportional to 1,410,205.50 and 2,148,347.25 is: 3,272,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,205.50 : 2,148,347.25 = 2,148,347.25 : x
  2. Step 2: Convert to fraction form
    1,410,205.50/2,148,347.25 = 2,148,347.25/x
  3. Step 3: Cross multiply
    1,410,205.50x = 2,148,347.25 × 2,148,347.25
  4. Step 4: Simplify right side
    1,410,205.50x = 4,615,395,906,582.56
  5. Step 5: Solve for x
    x = 4,615,395,906,582.56/1,410,205.50
  6. Step 6: Final answer
    x = 3,272,853.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.