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Finding the Third Proportional to 617,841.84 and 1,330,484.06

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Solution

The third proportional to 617,841.84 and 1,330,484.06 is: 2,865,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,841.84 : 1,330,484.06 = 1,330,484.06 : x
  2. Step 2: Convert to fraction form
    617,841.84/1,330,484.06 = 1,330,484.06/x
  3. Step 3: Cross multiply
    617,841.84x = 1,330,484.06 × 1,330,484.06
  4. Step 4: Simplify right side
    617,841.84x = 1,770,187,840,566.50
  5. Step 5: Solve for x
    x = 1,770,187,840,566.50/617,841.84
  6. Step 6: Final answer
    x = 2,865,114.85

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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.