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Finding the Third Proportional to 681,984 and 1,069,875

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Solution

The third proportional to 681,984 and 1,069,875 is: 1,678,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,984 : 1,069,875 = 1,069,875 : x
  2. Step 2: Convert to fraction form
    681,984/1,069,875 = 1,069,875/x
  3. Step 3: Cross multiply
    681,984x = 1,069,875 × 1,069,875
  4. Step 4: Simplify right side
    681,984x = 1,144,632,515,625
  5. Step 5: Solve for x
    x = 1,144,632,515,625/681,984
  6. Step 6: Final answer
    x = 1,678,386.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.