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Finding the Third Proportional to 478,116 and 1,029,999

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Solution

The third proportional to 478,116 and 1,029,999 is: 2,218,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,116 : 1,029,999 = 1,029,999 : x
  2. Step 2: Convert to fraction form
    478,116/1,029,999 = 1,029,999/x
  3. Step 3: Cross multiply
    478,116x = 1,029,999 × 1,029,999
  4. Step 4: Simplify right side
    478,116x = 1,060,897,940,001
  5. Step 5: Solve for x
    x = 1,060,897,940,001/478,116
  6. Step 6: Final answer
    x = 2,218,913.28

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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.