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Finding the Third Proportional to 1,586,535 and 3,425,532

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Solution

The third proportional to 1,586,535 and 3,425,532 is: 7,396,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,535 : 3,425,532 = 3,425,532 : x
  2. Step 2: Convert to fraction form
    1,586,535/3,425,532 = 3,425,532/x
  3. Step 3: Cross multiply
    1,586,535x = 3,425,532 × 3,425,532
  4. Step 4: Simplify right side
    1,586,535x = 11,734,269,483,024
  5. Step 5: Solve for x
    x = 11,734,269,483,024/1,586,535
  6. Step 6: Final answer
    x = 7,396,161.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.