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Finding the Third Proportional to 1,920,384 and 4,138,200

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Solution

The third proportional to 1,920,384 and 4,138,200 is: 8,917,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,384 : 4,138,200 = 4,138,200 : x
  2. Step 2: Convert to fraction form
    1,920,384/4,138,200 = 4,138,200/x
  3. Step 3: Cross multiply
    1,920,384x = 4,138,200 × 4,138,200
  4. Step 4: Simplify right side
    1,920,384x = 17,124,699,240,000
  5. Step 5: Solve for x
    x = 17,124,699,240,000/1,920,384
  6. Step 6: Final answer
    x = 8,917,330.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.