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Finding the Third Proportional to 1,169,116 and 2,731,583

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Solution

The third proportional to 1,169,116 and 2,731,583 is: 6,382,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,116 : 2,731,583 = 2,731,583 : x
  2. Step 2: Convert to fraction form
    1,169,116/2,731,583 = 2,731,583/x
  3. Step 3: Cross multiply
    1,169,116x = 2,731,583 × 2,731,583
  4. Step 4: Simplify right side
    1,169,116x = 7,461,545,685,889
  5. Step 5: Solve for x
    x = 7,461,545,685,889/1,169,116
  6. Step 6: Final answer
    x = 6,382,211.59

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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.