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Finding the Third Proportional to 1,188,069.75 and 1,702,512

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Solution

The third proportional to 1,188,069.75 and 1,702,512 is: 2,439,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,069.75 : 1,702,512 = 1,702,512 : x
  2. Step 2: Convert to fraction form
    1,188,069.75/1,702,512 = 1,702,512/x
  3. Step 3: Cross multiply
    1,188,069.75x = 1,702,512 × 1,702,512
  4. Step 4: Simplify right side
    1,188,069.75x = 2,898,547,110,144
  5. Step 5: Solve for x
    x = 2,898,547,110,144/1,188,069.75
  6. Step 6: Final answer
    x = 2,439,711.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.