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Finding the Third Proportional to 984,305 and 1,407,553

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Solution

The third proportional to 984,305 and 1,407,553 is: 2,012,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,305 : 1,407,553 = 1,407,553 : x
  2. Step 2: Convert to fraction form
    984,305/1,407,553 = 1,407,553/x
  3. Step 3: Cross multiply
    984,305x = 1,407,553 × 1,407,553
  4. Step 4: Simplify right side
    984,305x = 1,981,205,447,809
  5. Step 5: Solve for x
    x = 1,981,205,447,809/984,305
  6. Step 6: Final answer
    x = 2,012,796.29

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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.