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Finding the Third Proportional to 1,235,657 and 2,886,845

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Solution

The third proportional to 1,235,657 and 2,886,845 is: 6,744,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,657 : 2,886,845 = 2,886,845 : x
  2. Step 2: Convert to fraction form
    1,235,657/2,886,845 = 2,886,845/x
  3. Step 3: Cross multiply
    1,235,657x = 2,886,845 × 2,886,845
  4. Step 4: Simplify right side
    1,235,657x = 8,333,874,054,025
  5. Step 5: Solve for x
    x = 8,333,874,054,025/1,235,657
  6. Step 6: Final answer
    x = 6,744,488.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.