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Finding the Third Proportional to 1,364,414 and 2,895,068

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Solution

The third proportional to 1,364,414 and 2,895,068 is: 6,142,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,414 : 2,895,068 = 2,895,068 : x
  2. Step 2: Convert to fraction form
    1,364,414/2,895,068 = 2,895,068/x
  3. Step 3: Cross multiply
    1,364,414x = 2,895,068 × 2,895,068
  4. Step 4: Simplify right side
    1,364,414x = 8,381,418,724,624
  5. Step 5: Solve for x
    x = 8,381,418,724,624/1,364,414
  6. Step 6: Final answer
    x = 6,142,870.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.