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Finding the Third Proportional to 1,378,296 and 2,923,584

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Solution

The third proportional to 1,378,296 and 2,923,584 is: 6,201,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,296 : 2,923,584 = 2,923,584 : x
  2. Step 2: Convert to fraction form
    1,378,296/2,923,584 = 2,923,584/x
  3. Step 3: Cross multiply
    1,378,296x = 2,923,584 × 2,923,584
  4. Step 4: Simplify right side
    1,378,296x = 8,547,343,405,056
  5. Step 5: Solve for x
    x = 8,547,343,405,056/1,378,296
  6. Step 6: Final answer
    x = 6,201,384.47

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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.