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Finding the Third Proportional to 542,958 and 1,170,056

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Solution

The third proportional to 542,958 and 1,170,056 is: 2,521,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,958 : 1,170,056 = 1,170,056 : x
  2. Step 2: Convert to fraction form
    542,958/1,170,056 = 1,170,056/x
  3. Step 3: Cross multiply
    542,958x = 1,170,056 × 1,170,056
  4. Step 4: Simplify right side
    542,958x = 1,369,031,043,136
  5. Step 5: Solve for x
    x = 1,369,031,043,136/542,958
  6. Step 6: Final answer
    x = 2,521,430.83

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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.