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Finding the Third Proportional to 824,053.50 and 1,275,805.69

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Solution

The third proportional to 824,053.50 and 1,275,805.69 is: 1,975,211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,053.50 : 1,275,805.69 = 1,275,805.69 : x
  2. Step 2: Convert to fraction form
    824,053.50/1,275,805.69 = 1,275,805.69/x
  3. Step 3: Cross multiply
    824,053.50x = 1,275,805.69 × 1,275,805.69
  4. Step 4: Simplify right side
    824,053.50x = 1,627,680,152,257.35
  5. Step 5: Solve for x
    x = 1,627,680,152,257.35/824,053.50
  6. Step 6: Final answer
    x = 1,975,211.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.