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Finding the Third Proportional to 668,538 and 1,441,030.50

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Solution

The third proportional to 668,538 and 1,441,030.50 is: 3,106,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,538 : 1,441,030.50 = 1,441,030.50 : x
  2. Step 2: Convert to fraction form
    668,538/1,441,030.50 = 1,441,030.50/x
  3. Step 3: Cross multiply
    668,538x = 1,441,030.50 × 1,441,030.50
  4. Step 4: Simplify right side
    668,538x = 2,076,568,901,930.25
  5. Step 5: Solve for x
    x = 2,076,568,901,930.25/668,538
  6. Step 6: Final answer
    x = 3,106,134.43

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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.