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Finding the Third Proportional to 1,284,537 and 2,974,606

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Solution

The third proportional to 1,284,537 and 2,974,606 is: 6,888,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,537 : 2,974,606 = 2,974,606 : x
  2. Step 2: Convert to fraction form
    1,284,537/2,974,606 = 2,974,606/x
  3. Step 3: Cross multiply
    1,284,537x = 2,974,606 × 2,974,606
  4. Step 4: Simplify right side
    1,284,537x = 8,848,280,855,236
  5. Step 5: Solve for x
    x = 8,848,280,855,236/1,284,537
  6. Step 6: Final answer
    x = 6,888,303.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.