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Finding the Third Proportional to 500,856 and 1,113,678

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Solution

The third proportional to 500,856 and 1,113,678 is: 2,476,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,856 : 1,113,678 = 1,113,678 : x
  2. Step 2: Convert to fraction form
    500,856/1,113,678 = 1,113,678/x
  3. Step 3: Cross multiply
    500,856x = 1,113,678 × 1,113,678
  4. Step 4: Simplify right side
    500,856x = 1,240,278,687,684
  5. Step 5: Solve for x
    x = 1,240,278,687,684/500,856
  6. Step 6: Final answer
    x = 2,476,317.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.