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Finding the Third Proportional to 1,919,574 and 4,200,732

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Solution

The third proportional to 1,919,574 and 4,200,732 is: 9,192,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919,574 : 4,200,732 = 4,200,732 : x
  2. Step 2: Convert to fraction form
    1,919,574/4,200,732 = 4,200,732/x
  3. Step 3: Cross multiply
    1,919,574x = 4,200,732 × 4,200,732
  4. Step 4: Simplify right side
    1,919,574x = 17,646,149,335,824
  5. Step 5: Solve for x
    x = 17,646,149,335,824/1,919,574
  6. Step 6: Final answer
    x = 9,192,742.42

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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.