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Finding the Third Proportional to 1,429,184 and 3,138,304

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Solution

The third proportional to 1,429,184 and 3,138,304 is: 6,891,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,184 : 3,138,304 = 3,138,304 : x
  2. Step 2: Convert to fraction form
    1,429,184/3,138,304 = 3,138,304/x
  3. Step 3: Cross multiply
    1,429,184x = 3,138,304 × 3,138,304
  4. Step 4: Simplify right side
    1,429,184x = 9,848,951,996,416
  5. Step 5: Solve for x
    x = 9,848,951,996,416/1,429,184
  6. Step 6: Final answer
    x = 6,891,311.40

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