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Finding the Third Proportional to 4,268,410 and 6,511,020

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Solution

The third proportional to 4,268,410 and 6,511,020 is: 9,931,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268,410 : 6,511,020 = 6,511,020 : x
  2. Step 2: Convert to fraction form
    4,268,410/6,511,020 = 6,511,020/x
  3. Step 3: Cross multiply
    4,268,410x = 6,511,020 × 6,511,020
  4. Step 4: Simplify right side
    4,268,410x = 42,393,381,440,400
  5. Step 5: Solve for x
    x = 42,393,381,440,400/4,268,410
  6. Step 6: Final answer
    x = 9,931,890.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.