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Finding the Third Proportional to 748,548 and 1,609,178

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Solution

The third proportional to 748,548 and 1,609,178 is: 3,459,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,548 : 1,609,178 = 1,609,178 : x
  2. Step 2: Convert to fraction form
    748,548/1,609,178 = 1,609,178/x
  3. Step 3: Cross multiply
    748,548x = 1,609,178 × 1,609,178
  4. Step 4: Simplify right side
    748,548x = 2,589,453,835,684
  5. Step 5: Solve for x
    x = 2,589,453,835,684/748,548
  6. Step 6: Final answer
    x = 3,459,302.32

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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.