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Finding the Third Proportional to 681,894 and 1,022,842

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Solution

The third proportional to 681,894 and 1,022,842 is: 1,534,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,894 : 1,022,842 = 1,022,842 : x
  2. Step 2: Convert to fraction form
    681,894/1,022,842 = 1,022,842/x
  3. Step 3: Cross multiply
    681,894x = 1,022,842 × 1,022,842
  4. Step 4: Simplify right side
    681,894x = 1,046,205,756,964
  5. Step 5: Solve for x
    x = 1,046,205,756,964/681,894
  6. Step 6: Final answer
    x = 1,534,264.50

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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.