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Finding the Third Proportional to 466,008 and 999,984

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Solution

The third proportional to 466,008 and 999,984 is: 2,145,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,008 : 999,984 = 999,984 : x
  2. Step 2: Convert to fraction form
    466,008/999,984 = 999,984/x
  3. Step 3: Cross multiply
    466,008x = 999,984 × 999,984
  4. Step 4: Simplify right side
    466,008x = 999,968,000,256
  5. Step 5: Solve for x
    x = 999,968,000,256/466,008
  6. Step 6: Final answer
    x = 2,145,817.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.