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Finding the Third Proportional to 1,536,216 and 2,068,068

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Solution

The third proportional to 1,536,216 and 2,068,068 is: 2,784,052.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,216 : 2,068,068 = 2,068,068 : x
  2. Step 2: Convert to fraction form
    1,536,216/2,068,068 = 2,068,068/x
  3. Step 3: Cross multiply
    1,536,216x = 2,068,068 × 2,068,068
  4. Step 4: Simplify right side
    1,536,216x = 4,276,905,252,624
  5. Step 5: Solve for x
    x = 4,276,905,252,624/1,536,216
  6. Step 6: Final answer
    x = 2,784,052.02

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.