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Finding the Third Proportional to 542,968 and 1,170,076

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Solution

The third proportional to 542,968 and 1,170,076 is: 2,521,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,968 : 1,170,076 = 1,170,076 : x
  2. Step 2: Convert to fraction form
    542,968/1,170,076 = 1,170,076/x
  3. Step 3: Cross multiply
    542,968x = 1,170,076 × 1,170,076
  4. Step 4: Simplify right side
    542,968x = 1,369,077,845,776
  5. Step 5: Solve for x
    x = 1,369,077,845,776/542,968
  6. Step 6: Final answer
    x = 2,521,470.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.