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Finding the Third Proportional to 589,097,876 and 1,281,623,691

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Solution

The third proportional to 589,097,876 and 1,281,623,691 is: 2,788,262,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,097,876 : 1,281,623,691 = 1,281,623,691 : x
  2. Step 2: Convert to fraction form
    589,097,876/1,281,623,691 = 1,281,623,691/x
  3. Step 3: Cross multiply
    589,097,876x = 1,281,623,691 × 1,281,623,691
  4. Step 4: Simplify right side
    589,097,876x = 1,642,559,285,332,463,360
  5. Step 5: Solve for x
    x = 1,642,559,285,332,463,360/589,097,876
  6. Step 6: Final answer
    x = 2,788,262,107.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.