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Finding the Third Proportional to 542,554 and 1,178,510

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Solution

The third proportional to 542,554 and 1,178,510 is: 2,559,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,554 : 1,178,510 = 1,178,510 : x
  2. Step 2: Convert to fraction form
    542,554/1,178,510 = 1,178,510/x
  3. Step 3: Cross multiply
    542,554x = 1,178,510 × 1,178,510
  4. Step 4: Simplify right side
    542,554x = 1,388,885,820,100
  5. Step 5: Solve for x
    x = 1,388,885,820,100/542,554
  6. Step 6: Final answer
    x = 2,559,903.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.