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Finding the Third Proportional to 1,913,267 and 4,199,721

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Solution

The third proportional to 1,913,267 and 4,199,721 is: 9,218,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,267 : 4,199,721 = 4,199,721 : x
  2. Step 2: Convert to fraction form
    1,913,267/4,199,721 = 4,199,721/x
  3. Step 3: Cross multiply
    1,913,267x = 4,199,721 × 4,199,721
  4. Step 4: Simplify right side
    1,913,267x = 17,637,656,477,841
  5. Step 5: Solve for x
    x = 17,637,656,477,841/1,913,267
  6. Step 6: Final answer
    x = 9,218,606.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.