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Finding the Third Proportional to 673,768.13 and 1,009,614.38

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Solution

The third proportional to 673,768.13 and 1,009,614.38 is: 1,512,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,768.13 : 1,009,614.38 = 1,009,614.38 : x
  2. Step 2: Convert to fraction form
    673,768.13/1,009,614.38 = 1,009,614.38/x
  3. Step 3: Cross multiply
    673,768.13x = 1,009,614.38 × 1,009,614.38
  4. Step 4: Simplify right side
    673,768.13x = 1,019,321,186,206.64
  5. Step 5: Solve for x
    x = 1,019,321,186,206.64/673,768.13
  6. Step 6: Final answer
    x = 1,512,866.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.