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Finding the Third Proportional to 4,091,382 and 6,137,082

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Solution

The third proportional to 4,091,382 and 6,137,082 is: 9,205,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091,382 : 6,137,082 = 6,137,082 : x
  2. Step 2: Convert to fraction form
    4,091,382/6,137,082 = 6,137,082/x
  3. Step 3: Cross multiply
    4,091,382x = 6,137,082 × 6,137,082
  4. Step 4: Simplify right side
    4,091,382x = 37,663,775,474,724
  5. Step 5: Solve for x
    x = 37,663,775,474,724/4,091,382
  6. Step 6: Final answer
    x = 9,205,636.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.