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Finding the Third Proportional to 855,676 and 1,315,348

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Solution

The third proportional to 855,676 and 1,315,348 is: 2,021,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,676 : 1,315,348 = 1,315,348 : x
  2. Step 2: Convert to fraction form
    855,676/1,315,348 = 1,315,348/x
  3. Step 3: Cross multiply
    855,676x = 1,315,348 × 1,315,348
  4. Step 4: Simplify right side
    855,676x = 1,730,140,361,104
  5. Step 5: Solve for x
    x = 1,730,140,361,104/855,676
  6. Step 6: Final answer
    x = 2,021,957.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.