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Finding the Third Proportional to 984,564 and 1,407,912

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Solution

The third proportional to 984,564 and 1,407,912 is: 2,013,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,564 : 1,407,912 = 1,407,912 : x
  2. Step 2: Convert to fraction form
    984,564/1,407,912 = 1,407,912/x
  3. Step 3: Cross multiply
    984,564x = 1,407,912 × 1,407,912
  4. Step 4: Simplify right side
    984,564x = 1,982,216,199,744
  5. Step 5: Solve for x
    x = 1,982,216,199,744/984,564
  6. Step 6: Final answer
    x = 2,013,293.40

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Why These Related Problems?

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