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Finding the Third Proportional to 676,599.75 and 1,409,175

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Solution

The third proportional to 676,599.75 and 1,409,175 is: 2,934,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,599.75 : 1,409,175 = 1,409,175 : x
  2. Step 2: Convert to fraction form
    676,599.75/1,409,175 = 1,409,175/x
  3. Step 3: Cross multiply
    676,599.75x = 1,409,175 × 1,409,175
  4. Step 4: Simplify right side
    676,599.75x = 1,985,774,180,625
  5. Step 5: Solve for x
    x = 1,985,774,180,625/676,599.75
  6. Step 6: Final answer
    x = 2,934,931.89

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.