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Finding the Third Proportional to 963,912 and 2,093,758

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Solution

The third proportional to 963,912 and 2,093,758 is: 4,547,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,912 : 2,093,758 = 2,093,758 : x
  2. Step 2: Convert to fraction form
    963,912/2,093,758 = 2,093,758/x
  3. Step 3: Cross multiply
    963,912x = 2,093,758 × 2,093,758
  4. Step 4: Simplify right side
    963,912x = 4,383,822,562,564
  5. Step 5: Solve for x
    x = 4,383,822,562,564/963,912
  6. Step 6: Final answer
    x = 4,547,948.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.