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Finding the Third Proportional to 759,397 and 1,109,107

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Solution

The third proportional to 759,397 and 1,109,107 is: 1,619,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,397 : 1,109,107 = 1,109,107 : x
  2. Step 2: Convert to fraction form
    759,397/1,109,107 = 1,109,107/x
  3. Step 3: Cross multiply
    759,397x = 1,109,107 × 1,109,107
  4. Step 4: Simplify right side
    759,397x = 1,230,118,337,449
  5. Step 5: Solve for x
    x = 1,230,118,337,449/759,397
  6. Step 6: Final answer
    x = 1,619,861.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.