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Finding the Third Proportional to 750,163 and 1,071,963

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Solution

The third proportional to 750,163 and 1,071,963 is: 1,531,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,163 : 1,071,963 = 1,071,963 : x
  2. Step 2: Convert to fraction form
    750,163/1,071,963 = 1,071,963/x
  3. Step 3: Cross multiply
    750,163x = 1,071,963 × 1,071,963
  4. Step 4: Simplify right side
    750,163x = 1,149,104,673,369
  5. Step 5: Solve for x
    x = 1,149,104,673,369/750,163
  6. Step 6: Final answer
    x = 1,531,806.65

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.