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Finding the Third Proportional to 1,034,896.50 and 1,450,204.88

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Solution

The third proportional to 1,034,896.50 and 1,450,204.88 is: 2,032,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,896.50 : 1,450,204.88 = 1,450,204.88 : x
  2. Step 2: Convert to fraction form
    1,034,896.50/1,450,204.88 = 1,450,204.88/x
  3. Step 3: Cross multiply
    1,034,896.50x = 1,450,204.88 × 1,450,204.88
  4. Step 4: Simplify right side
    1,034,896.50x = 2,103,094,179,473.77
  5. Step 5: Solve for x
    x = 2,103,094,179,473.77/1,034,896.50
  6. Step 6: Final answer
    x = 2,032,178.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.