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Finding the Third Proportional to 653,244 and 1,406,595

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Solution

The third proportional to 653,244 and 1,406,595 is: 3,028,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,244 : 1,406,595 = 1,406,595 : x
  2. Step 2: Convert to fraction form
    653,244/1,406,595 = 1,406,595/x
  3. Step 3: Cross multiply
    653,244x = 1,406,595 × 1,406,595
  4. Step 4: Simplify right side
    653,244x = 1,978,509,494,025
  5. Step 5: Solve for x
    x = 1,978,509,494,025/653,244
  6. Step 6: Final answer
    x = 3,028,744.99

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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.