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Finding the Third Proportional to 693,936.25 and 1,547,430.75

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Solution

The third proportional to 693,936.25 and 1,547,430.75 is: 3,450,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,936.25 : 1,547,430.75 = 1,547,430.75 : x
  2. Step 2: Convert to fraction form
    693,936.25/1,547,430.75 = 1,547,430.75/x
  3. Step 3: Cross multiply
    693,936.25x = 1,547,430.75 × 1,547,430.75
  4. Step 4: Simplify right side
    693,936.25x = 2,394,541,926,045.56
  5. Step 5: Solve for x
    x = 2,394,541,926,045.56/693,936.25
  6. Step 6: Final answer
    x = 3,450,665.57

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.