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Finding the Third Proportional to 475,257 and 989,842.50

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Solution

The third proportional to 475,257 and 989,842.50 is: 2,061,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,257 : 989,842.50 = 989,842.50 : x
  2. Step 2: Convert to fraction form
    475,257/989,842.50 = 989,842.50/x
  3. Step 3: Cross multiply
    475,257x = 989,842.50 × 989,842.50
  4. Step 4: Simplify right side
    475,257x = 979,788,174,806.25
  5. Step 5: Solve for x
    x = 979,788,174,806.25/475,257
  6. Step 6: Final answer
    x = 2,061,596.51

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.