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Finding the Third Proportional to 705,137.06 and 1,522,492.88

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Solution

The third proportional to 705,137.06 and 1,522,492.88 is: 3,287,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,137.06 : 1,522,492.88 = 1,522,492.88 : x
  2. Step 2: Convert to fraction form
    705,137.06/1,522,492.88 = 1,522,492.88/x
  3. Step 3: Cross multiply
    705,137.06x = 1,522,492.88 × 1,522,492.88
  4. Step 4: Simplify right side
    705,137.06x = 2,317,984,554,425.77
  5. Step 5: Solve for x
    x = 2,317,984,554,425.77/705,137.06
  6. Step 6: Final answer
    x = 3,287,282.26

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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.