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Finding the Third Proportional to 897,894 and 1,320,583.50

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Solution

The third proportional to 897,894 and 1,320,583.50 is: 1,942,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,894 : 1,320,583.50 = 1,320,583.50 : x
  2. Step 2: Convert to fraction form
    897,894/1,320,583.50 = 1,320,583.50/x
  3. Step 3: Cross multiply
    897,894x = 1,320,583.50 × 1,320,583.50
  4. Step 4: Simplify right side
    897,894x = 1,743,940,780,472.25
  5. Step 5: Solve for x
    x = 1,743,940,780,472.25/897,894
  6. Step 6: Final answer
    x = 1,942,256.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.