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Finding the Third Proportional to 1,883,184 and 2,828,988

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Solution

The third proportional to 1,883,184 and 2,828,988 is: 4,249,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883,184 : 2,828,988 = 2,828,988 : x
  2. Step 2: Convert to fraction form
    1,883,184/2,828,988 = 2,828,988/x
  3. Step 3: Cross multiply
    1,883,184x = 2,828,988 × 2,828,988
  4. Step 4: Simplify right side
    1,883,184x = 8,003,173,104,144
  5. Step 5: Solve for x
    x = 8,003,173,104,144/1,883,184
  6. Step 6: Final answer
    x = 4,249,809.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.