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Finding the Third Proportional to 977,243 and 1,494,924

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Solution

The third proportional to 977,243 and 1,494,924 is: 2,286,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,243 : 1,494,924 = 1,494,924 : x
  2. Step 2: Convert to fraction form
    977,243/1,494,924 = 1,494,924/x
  3. Step 3: Cross multiply
    977,243x = 1,494,924 × 1,494,924
  4. Step 4: Simplify right side
    977,243x = 2,234,797,765,776
  5. Step 5: Solve for x
    x = 2,234,797,765,776/977,243
  6. Step 6: Final answer
    x = 2,286,839.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.