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Finding the Third Proportional to 631,891 and 819,746

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Solution

The third proportional to 631,891 and 819,746 is: 1,063,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,891 : 819,746 = 819,746 : x
  2. Step 2: Convert to fraction form
    631,891/819,746 = 819,746/x
  3. Step 3: Cross multiply
    631,891x = 819,746 × 819,746
  4. Step 4: Simplify right side
    631,891x = 671,983,504,516
  5. Step 5: Solve for x
    x = 671,983,504,516/631,891
  6. Step 6: Final answer
    x = 1,063,448.45

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.