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Finding the Third Proportional to 1,378,232 and 2,923,216

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Solution

The third proportional to 1,378,232 and 2,923,216 is: 6,200,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,232 : 2,923,216 = 2,923,216 : x
  2. Step 2: Convert to fraction form
    1,378,232/2,923,216 = 2,923,216/x
  3. Step 3: Cross multiply
    1,378,232x = 2,923,216 × 2,923,216
  4. Step 4: Simplify right side
    1,378,232x = 8,545,191,782,656
  5. Step 5: Solve for x
    x = 8,545,191,782,656/1,378,232
  6. Step 6: Final answer
    x = 6,200,111.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.