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Finding the Third Proportional to 1,026,756 and 1,580,230

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Solution

The third proportional to 1,026,756 and 1,580,230 is: 2,432,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,756 : 1,580,230 = 1,580,230 : x
  2. Step 2: Convert to fraction form
    1,026,756/1,580,230 = 1,580,230/x
  3. Step 3: Cross multiply
    1,026,756x = 1,580,230 × 1,580,230
  4. Step 4: Simplify right side
    1,026,756x = 2,497,126,852,900
  5. Step 5: Solve for x
    x = 2,497,126,852,900/1,026,756
  6. Step 6: Final answer
    x = 2,432,054.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.