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Finding the Third Proportional to 572,306 and 1,233,180

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Solution

The third proportional to 572,306 and 1,233,180 is: 2,657,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,306 : 1,233,180 = 1,233,180 : x
  2. Step 2: Convert to fraction form
    572,306/1,233,180 = 1,233,180/x
  3. Step 3: Cross multiply
    572,306x = 1,233,180 × 1,233,180
  4. Step 4: Simplify right side
    572,306x = 1,520,732,912,400
  5. Step 5: Solve for x
    x = 1,520,732,912,400/572,306
  6. Step 6: Final answer
    x = 2,657,202.46

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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.