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Finding the Third Proportional to 1,378,428 and 2,920,512

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Solution

The third proportional to 1,378,428 and 2,920,512 is: 6,187,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,428 : 2,920,512 = 2,920,512 : x
  2. Step 2: Convert to fraction form
    1,378,428/2,920,512 = 2,920,512/x
  3. Step 3: Cross multiply
    1,378,428x = 2,920,512 × 2,920,512
  4. Step 4: Simplify right side
    1,378,428x = 8,529,390,342,144
  5. Step 5: Solve for x
    x = 8,529,390,342,144/1,378,428
  6. Step 6: Final answer
    x = 6,187,766.31

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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.