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Finding the Third Proportional to 745,848 and 1,609,632

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Solution

The third proportional to 745,848 and 1,609,632 is: 3,473,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,848 : 1,609,632 = 1,609,632 : x
  2. Step 2: Convert to fraction form
    745,848/1,609,632 = 1,609,632/x
  3. Step 3: Cross multiply
    745,848x = 1,609,632 × 1,609,632
  4. Step 4: Simplify right side
    745,848x = 2,590,915,175,424
  5. Step 5: Solve for x
    x = 2,590,915,175,424/745,848
  6. Step 6: Final answer
    x = 3,473,784.44

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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.