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Finding the Third Proportional to 984,390 and 1,407,654

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Solution

The third proportional to 984,390 and 1,407,654 is: 2,012,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,390 : 1,407,654 = 1,407,654 : x
  2. Step 2: Convert to fraction form
    984,390/1,407,654 = 1,407,654/x
  3. Step 3: Cross multiply
    984,390x = 1,407,654 × 1,407,654
  4. Step 4: Simplify right side
    984,390x = 1,981,489,783,716
  5. Step 5: Solve for x
    x = 1,981,489,783,716/984,390
  6. Step 6: Final answer
    x = 2,012,911.33

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.