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Finding the Third Proportional to 449,687 and 963,130

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Solution

The third proportional to 449,687 and 963,130 is: 2,062,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,687 : 963,130 = 963,130 : x
  2. Step 2: Convert to fraction form
    449,687/963,130 = 963,130/x
  3. Step 3: Cross multiply
    449,687x = 963,130 × 963,130
  4. Step 4: Simplify right side
    449,687x = 927,619,396,900
  5. Step 5: Solve for x
    x = 927,619,396,900/449,687
  6. Step 6: Final answer
    x = 2,062,811.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.