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Finding the Third Proportional to 500,856 and 1,077,641.25

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Solution

The third proportional to 500,856 and 1,077,641.25 is: 2,318,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,856 : 1,077,641.25 = 1,077,641.25 : x
  2. Step 2: Convert to fraction form
    500,856/1,077,641.25 = 1,077,641.25/x
  3. Step 3: Cross multiply
    500,856x = 1,077,641.25 × 1,077,641.25
  4. Step 4: Simplify right side
    500,856x = 1,161,310,663,701.56
  5. Step 5: Solve for x
    x = 1,161,310,663,701.56/500,856
  6. Step 6: Final answer
    x = 2,318,651.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.