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Finding the Third Proportional to 728,308,161 and 1,064,811,998.25

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Solution

The third proportional to 728,308,161 and 1,064,811,998.25 is: 1,556,792,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,308,161 : 1,064,811,998.25 = 1,064,811,998.25 : x
  2. Step 2: Convert to fraction form
    728,308,161/1,064,811,998.25 = 1,064,811,998.25/x
  3. Step 3: Cross multiply
    728,308,161x = 1,064,811,998.25 × 1,064,811,998.25
  4. Step 4: Simplify right side
    728,308,161x = 1,133,824,591,617,158,016
  5. Step 5: Solve for x
    x = 1,133,824,591,617,158,016/728,308,161
  6. Step 6: Final answer
    x = 1,556,792,374.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.