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Finding the Third Proportional to 636,147 and 974,605.50

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Solution

The third proportional to 636,147 and 974,605.50 is: 1,493,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,147 : 974,605.50 = 974,605.50 : x
  2. Step 2: Convert to fraction form
    636,147/974,605.50 = 974,605.50/x
  3. Step 3: Cross multiply
    636,147x = 974,605.50 × 974,605.50
  4. Step 4: Simplify right side
    636,147x = 949,855,880,630.25
  5. Step 5: Solve for x
    x = 949,855,880,630.25/636,147
  6. Step 6: Final answer
    x = 1,493,138.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.