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Finding the Third Proportional to 589,846 and 1,290,082

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Solution

The third proportional to 589,846 and 1,290,082 is: 2,821,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,846 : 1,290,082 = 1,290,082 : x
  2. Step 2: Convert to fraction form
    589,846/1,290,082 = 1,290,082/x
  3. Step 3: Cross multiply
    589,846x = 1,290,082 × 1,290,082
  4. Step 4: Simplify right side
    589,846x = 1,664,311,566,724
  5. Step 5: Solve for x
    x = 1,664,311,566,724/589,846
  6. Step 6: Final answer
    x = 2,821,603.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.