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Finding the Third Proportional to 1,919,700 and 4,200,984

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Solution

The third proportional to 1,919,700 and 4,200,984 is: 9,193,241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,700 : 4,200,984 = 4,200,984 : x
  2. Step 2: Convert to fraction form
    1,919,700/4,200,984 = 4,200,984/x
  3. Step 3: Cross multiply
    1,919,700x = 4,200,984 × 4,200,984
  4. Step 4: Simplify right side
    1,919,700x = 17,648,266,568,256
  5. Step 5: Solve for x
    x = 17,648,266,568,256/1,919,700
  6. Step 6: Final answer
    x = 9,193,241.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.