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Finding the Third Proportional to 825,261 and 1,749,879

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Solution

The third proportional to 825,261 and 1,749,879 is: 3,710,434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,261 : 1,749,879 = 1,749,879 : x
  2. Step 2: Convert to fraction form
    825,261/1,749,879 = 1,749,879/x
  3. Step 3: Cross multiply
    825,261x = 1,749,879 × 1,749,879
  4. Step 4: Simplify right side
    825,261x = 3,062,076,514,641
  5. Step 5: Solve for x
    x = 3,062,076,514,641/825,261
  6. Step 6: Final answer
    x = 3,710,434.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.