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Finding the Third Proportional to 478,098 and 1,029,967

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Solution

The third proportional to 478,098 and 1,029,967 is: 2,218,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,098 : 1,029,967 = 1,029,967 : x
  2. Step 2: Convert to fraction form
    478,098/1,029,967 = 1,029,967/x
  3. Step 3: Cross multiply
    478,098x = 1,029,967 × 1,029,967
  4. Step 4: Simplify right side
    478,098x = 1,060,832,021,089
  5. Step 5: Solve for x
    x = 1,060,832,021,089/478,098
  6. Step 6: Final answer
    x = 2,218,858.94

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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.