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Finding the Third Proportional to 627,773,169 and 1,033,694,181

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Solution

The third proportional to 627,773,169 and 1,033,694,181 is: 1,702,085,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,773,169 : 1,033,694,181 = 1,033,694,181 : x
  2. Step 2: Convert to fraction form
    627,773,169/1,033,694,181 = 1,033,694,181/x
  3. Step 3: Cross multiply
    627,773,169x = 1,033,694,181 × 1,033,694,181
  4. Step 4: Simplify right side
    627,773,169x = 1,068,523,659,833,260,800
  5. Step 5: Solve for x
    x = 1,068,523,659,833,260,800/627,773,169
  6. Step 6: Final answer
    x = 1,702,085,582.18

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.