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Finding the Third Proportional to 1,609,051.50 and 2,385,767.25

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Solution

The third proportional to 1,609,051.50 and 2,385,767.25 is: 3,537,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,051.50 : 2,385,767.25 = 2,385,767.25 : x
  2. Step 2: Convert to fraction form
    1,609,051.50/2,385,767.25 = 2,385,767.25/x
  3. Step 3: Cross multiply
    1,609,051.50x = 2,385,767.25 × 2,385,767.25
  4. Step 4: Simplify right side
    1,609,051.50x = 5,691,885,371,172.56
  5. Step 5: Solve for x
    x = 5,691,885,371,172.56/1,609,051.50
  6. Step 6: Final answer
    x = 3,537,416.53

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.