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Finding the Third Proportional to 469,998 and 964,883

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Solution

The third proportional to 469,998 and 964,883 is: 1,980,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,998 : 964,883 = 964,883 : x
  2. Step 2: Convert to fraction form
    469,998/964,883 = 964,883/x
  3. Step 3: Cross multiply
    469,998x = 964,883 × 964,883
  4. Step 4: Simplify right side
    469,998x = 930,999,203,689
  5. Step 5: Solve for x
    x = 930,999,203,689/469,998
  6. Step 6: Final answer
    x = 1,980,857.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.