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Finding the Third Proportional to 675,840 and 944,869.50

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Solution

The third proportional to 675,840 and 944,869.50 is: 1,320,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,840 : 944,869.50 = 944,869.50 : x
  2. Step 2: Convert to fraction form
    675,840/944,869.50 = 944,869.50/x
  3. Step 3: Cross multiply
    675,840x = 944,869.50 × 944,869.50
  4. Step 4: Simplify right side
    675,840x = 892,778,372,030.25
  5. Step 5: Solve for x
    x = 892,778,372,030.25/675,840
  6. Step 6: Final answer
    x = 1,320,990.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.