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Finding the Third Proportional to 976,208 and 1,432,632

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Solution

The third proportional to 976,208 and 1,432,632 is: 2,102,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,208 : 1,432,632 = 1,432,632 : x
  2. Step 2: Convert to fraction form
    976,208/1,432,632 = 1,432,632/x
  3. Step 3: Cross multiply
    976,208x = 1,432,632 × 1,432,632
  4. Step 4: Simplify right side
    976,208x = 2,052,434,447,424
  5. Step 5: Solve for x
    x = 2,052,434,447,424/976,208
  6. Step 6: Final answer
    x = 2,102,456.08

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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.