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Finding the Third Proportional to 459,632 and 974,912

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Solution

The third proportional to 459,632 and 974,912 is: 2,067,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,632 : 974,912 = 974,912 : x
  2. Step 2: Convert to fraction form
    459,632/974,912 = 974,912/x
  3. Step 3: Cross multiply
    459,632x = 974,912 × 974,912
  4. Step 4: Simplify right side
    459,632x = 950,453,407,744
  5. Step 5: Solve for x
    x = 950,453,407,744/459,632
  6. Step 6: Final answer
    x = 2,067,857.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.