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Finding the Third Proportional to 458,411 and 990,563

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Solution

The third proportional to 458,411 and 990,563 is: 2,140,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,411 : 990,563 = 990,563 : x
  2. Step 2: Convert to fraction form
    458,411/990,563 = 990,563/x
  3. Step 3: Cross multiply
    458,411x = 990,563 × 990,563
  4. Step 4: Simplify right side
    458,411x = 981,215,056,969
  5. Step 5: Solve for x
    x = 981,215,056,969/458,411
  6. Step 6: Final answer
    x = 2,140,470.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.