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Finding the Third Proportional to 1,976,414 and 4,309,692

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Solution

The third proportional to 1,976,414 and 4,309,692 is: 9,397,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976,414 : 4,309,692 = 4,309,692 : x
  2. Step 2: Convert to fraction form
    1,976,414/4,309,692 = 4,309,692/x
  3. Step 3: Cross multiply
    1,976,414x = 4,309,692 × 4,309,692
  4. Step 4: Simplify right side
    1,976,414x = 18,573,445,134,864
  5. Step 5: Solve for x
    x = 18,573,445,134,864/1,976,414
  6. Step 6: Final answer
    x = 9,397,547.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.