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Finding the Third Proportional to 390,998 and 851,980

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Solution

The third proportional to 390,998 and 851,980 is: 1,856,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,998 : 851,980 = 851,980 : x
  2. Step 2: Convert to fraction form
    390,998/851,980 = 851,980/x
  3. Step 3: Cross multiply
    390,998x = 851,980 × 851,980
  4. Step 4: Simplify right side
    390,998x = 725,869,920,400
  5. Step 5: Solve for x
    x = 725,869,920,400/390,998
  6. Step 6: Final answer
    x = 1,856,454.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.