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Finding the Third Proportional to 1,586,764 and 2,383,598

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Solution

The third proportional to 1,586,764 and 2,383,598 is: 3,580,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,764 : 2,383,598 = 2,383,598 : x
  2. Step 2: Convert to fraction form
    1,586,764/2,383,598 = 2,383,598/x
  3. Step 3: Cross multiply
    1,586,764x = 2,383,598 × 2,383,598
  4. Step 4: Simplify right side
    1,586,764x = 5,681,539,425,604
  5. Step 5: Solve for x
    x = 5,681,539,425,604/1,586,764
  6. Step 6: Final answer
    x = 3,580,582.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.