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Finding the Third Proportional to 977,981.98 and 1,496,015.26

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Solution

The third proportional to 977,981.98 and 1,496,015.26 is: 2,288,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,981.98 : 1,496,015.26 = 1,496,015.26 : x
  2. Step 2: Convert to fraction form
    977,981.98/1,496,015.26 = 1,496,015.26/x
  3. Step 3: Cross multiply
    977,981.98x = 1,496,015.26 × 1,496,015.26
  4. Step 4: Simplify right side
    977,981.98x = 2,238,061,663,295.57
  5. Step 5: Solve for x
    x = 2,238,061,663,295.57/977,981.98
  6. Step 6: Final answer
    x = 2,288,448.78

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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.