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Finding the Third Proportional to 856,083 and 1,874,598

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Solution

The third proportional to 856,083 and 1,874,598 is: 4,104,879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,083 : 1,874,598 = 1,874,598 : x
  2. Step 2: Convert to fraction form
    856,083/1,874,598 = 1,874,598/x
  3. Step 3: Cross multiply
    856,083x = 1,874,598 × 1,874,598
  4. Step 4: Simplify right side
    856,083x = 3,514,117,661,604
  5. Step 5: Solve for x
    x = 3,514,117,661,604/856,083
  6. Step 6: Final answer
    x = 4,104,879.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.