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Finding the Third Proportional to 977,983.88 and 1,496,024.44

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Solution

The third proportional to 977,983.88 and 1,496,024.44 is: 2,288,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,983.88 : 1,496,024.44 = 1,496,024.44 : x
  2. Step 2: Convert to fraction form
    977,983.88/1,496,024.44 = 1,496,024.44/x
  3. Step 3: Cross multiply
    977,983.88x = 1,496,024.44 × 1,496,024.44
  4. Step 4: Simplify right side
    977,983.88x = 2,238,089,117,597.19
  5. Step 5: Solve for x
    x = 2,238,089,117,597.19/977,983.88
  6. Step 6: Final answer
    x = 2,288,472.41

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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.