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Finding the Third Proportional to 980,098 and 1,578,952

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Solution

The third proportional to 980,098 and 1,578,952 is: 2,543,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,098 : 1,578,952 = 1,578,952 : x
  2. Step 2: Convert to fraction form
    980,098/1,578,952 = 1,578,952/x
  3. Step 3: Cross multiply
    980,098x = 1,578,952 × 1,578,952
  4. Step 4: Simplify right side
    980,098x = 2,493,089,418,304
  5. Step 5: Solve for x
    x = 2,493,089,418,304/980,098
  6. Step 6: Final answer
    x = 2,543,714.42

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.