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Finding the Third Proportional to 1,596,213 and 2,410,889

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Solution

The third proportional to 1,596,213 and 2,410,889 is: 3,641,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,213 : 2,410,889 = 2,410,889 : x
  2. Step 2: Convert to fraction form
    1,596,213/2,410,889 = 2,410,889/x
  3. Step 3: Cross multiply
    1,596,213x = 2,410,889 × 2,410,889
  4. Step 4: Simplify right side
    1,596,213x = 5,812,385,770,321
  5. Step 5: Solve for x
    x = 5,812,385,770,321/1,596,213
  6. Step 6: Final answer
    x = 3,641,359.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.