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Finding the Third Proportional to 873,096,233 and 1,309,323,660

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Solution

The third proportional to 873,096,233 and 1,309,323,660 is: 1,963,504,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,096,233 : 1,309,323,660 = 1,309,323,660 : x
  2. Step 2: Convert to fraction form
    873,096,233/1,309,323,660 = 1,309,323,660/x
  3. Step 3: Cross multiply
    873,096,233x = 1,309,323,660 × 1,309,323,660
  4. Step 4: Simplify right side
    873,096,233x = 1,714,328,446,635,795,712
  5. Step 5: Solve for x
    x = 1,714,328,446,635,795,712/873,096,233
  6. Step 6: Final answer
    x = 1,963,504,573.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.