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Finding the Third Proportional to 450,964.13 and 939,243.94

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Solution

The third proportional to 450,964.13 and 939,243.94 is: 1,956,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,964.13 : 939,243.94 = 939,243.94 : x
  2. Step 2: Convert to fraction form
    450,964.13/939,243.94 = 939,243.94/x
  3. Step 3: Cross multiply
    450,964.13x = 939,243.94 × 939,243.94
  4. Step 4: Simplify right side
    450,964.13x = 882,179,174,130.50
  5. Step 5: Solve for x
    x = 882,179,174,130.50/450,964.13
  6. Step 6: Final answer
    x = 1,956,206.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.