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Finding the Third Proportional to 969,537 and 2,083,002

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Solution

The third proportional to 969,537 and 2,083,002 is: 4,475,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,537 : 2,083,002 = 2,083,002 : x
  2. Step 2: Convert to fraction form
    969,537/2,083,002 = 2,083,002/x
  3. Step 3: Cross multiply
    969,537x = 2,083,002 × 2,083,002
  4. Step 4: Simplify right side
    969,537x = 4,338,897,332,004
  5. Step 5: Solve for x
    x = 4,338,897,332,004/969,537
  6. Step 6: Final answer
    x = 4,475,226.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.