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Finding the Third Proportional to 407,818 and 959,629

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Solution

The third proportional to 407,818 and 959,629 is: 2,258,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,818 : 959,629 = 959,629 : x
  2. Step 2: Convert to fraction form
    407,818/959,629 = 959,629/x
  3. Step 3: Cross multiply
    407,818x = 959,629 × 959,629
  4. Step 4: Simplify right side
    407,818x = 920,887,817,641
  5. Step 5: Solve for x
    x = 920,887,817,641/407,818
  6. Step 6: Final answer
    x = 2,258,085.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.