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Finding the Third Proportional to 673,201.13 and 1,009,801.69

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Solution

The third proportional to 673,201.13 and 1,009,801.69 is: 1,514,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,201.13 : 1,009,801.69 = 1,009,801.69 : x
  2. Step 2: Convert to fraction form
    673,201.13/1,009,801.69 = 1,009,801.69/x
  3. Step 3: Cross multiply
    673,201.13x = 1,009,801.69 × 1,009,801.69
  4. Step 4: Simplify right side
    673,201.13x = 1,019,699,448,077.85
  5. Step 5: Solve for x
    x = 1,019,699,448,077.85/673,201.13
  6. Step 6: Final answer
    x = 1,514,702.53

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