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Finding the Third Proportional to 1,223,640 and 1,720,093.50

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Solution

The third proportional to 1,223,640 and 1,720,093.50 is: 2,417,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,640 : 1,720,093.50 = 1,720,093.50 : x
  2. Step 2: Convert to fraction form
    1,223,640/1,720,093.50 = 1,720,093.50/x
  3. Step 3: Cross multiply
    1,223,640x = 1,720,093.50 × 1,720,093.50
  4. Step 4: Simplify right side
    1,223,640x = 2,958,721,648,742.25
  5. Step 5: Solve for x
    x = 2,958,721,648,742.25/1,223,640
  6. Step 6: Final answer
    x = 2,417,967.42

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.