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Finding the Third Proportional to 653,232 and 1,406,571

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Solution

The third proportional to 653,232 and 1,406,571 is: 3,028,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,232 : 1,406,571 = 1,406,571 : x
  2. Step 2: Convert to fraction form
    653,232/1,406,571 = 1,406,571/x
  3. Step 3: Cross multiply
    653,232x = 1,406,571 × 1,406,571
  4. Step 4: Simplify right side
    653,232x = 1,978,441,978,041
  5. Step 5: Solve for x
    x = 1,978,441,978,041/653,232
  6. Step 6: Final answer
    x = 3,028,697.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.