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Finding the Third Proportional to 641,925 and 993,424.50

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Solution

The third proportional to 641,925 and 993,424.50 is: 1,537,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,925 : 993,424.50 = 993,424.50 : x
  2. Step 2: Convert to fraction form
    641,925/993,424.50 = 993,424.50/x
  3. Step 3: Cross multiply
    641,925x = 993,424.50 × 993,424.50
  4. Step 4: Simplify right side
    641,925x = 986,892,237,200.25
  5. Step 5: Solve for x
    x = 986,892,237,200.25/641,925
  6. Step 6: Final answer
    x = 1,537,394.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.