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Finding the Third Proportional to 1,205,820 and 1,919,430

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Solution

The third proportional to 1,205,820 and 1,919,430 is: 3,055,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,820 : 1,919,430 = 1,919,430 : x
  2. Step 2: Convert to fraction form
    1,205,820/1,919,430 = 1,919,430/x
  3. Step 3: Cross multiply
    1,205,820x = 1,919,430 × 1,919,430
  4. Step 4: Simplify right side
    1,205,820x = 3,684,211,524,900
  5. Step 5: Solve for x
    x = 3,684,211,524,900/1,205,820
  6. Step 6: Final answer
    x = 3,055,357.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.