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Finding the Third Proportional to 745,024 and 1,609,088

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Solution

The third proportional to 745,024 and 1,609,088 is: 3,475,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,024 : 1,609,088 = 1,609,088 : x
  2. Step 2: Convert to fraction form
    745,024/1,609,088 = 1,609,088/x
  3. Step 3: Cross multiply
    745,024x = 1,609,088 × 1,609,088
  4. Step 4: Simplify right side
    745,024x = 2,589,164,191,744
  5. Step 5: Solve for x
    x = 2,589,164,191,744/745,024
  6. Step 6: Final answer
    x = 3,475,276.22

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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.