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Finding the Third Proportional to 626,866 and 940,291

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Solution

The third proportional to 626,866 and 940,291 is: 1,410,424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,866 : 940,291 = 940,291 : x
  2. Step 2: Convert to fraction form
    626,866/940,291 = 940,291/x
  3. Step 3: Cross multiply
    626,866x = 940,291 × 940,291
  4. Step 4: Simplify right side
    626,866x = 884,147,164,681
  5. Step 5: Solve for x
    x = 884,147,164,681/626,866
  6. Step 6: Final answer
    x = 1,410,424.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.