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Finding the Third Proportional to 416,719 and 973,726

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Solution

The third proportional to 416,719 and 973,726 is: 2,275,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,719 : 973,726 = 973,726 : x
  2. Step 2: Convert to fraction form
    416,719/973,726 = 973,726/x
  3. Step 3: Cross multiply
    416,719x = 973,726 × 973,726
  4. Step 4: Simplify right side
    416,719x = 948,142,323,076
  5. Step 5: Solve for x
    x = 948,142,323,076/416,719
  6. Step 6: Final answer
    x = 2,275,255.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.