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Finding the Third Proportional to 977,982.19 and 1,496,017.27

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Solution

The third proportional to 977,982.19 and 1,496,017.27 is: 2,288,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,982.19 : 1,496,017.27 = 1,496,017.27 : x
  2. Step 2: Convert to fraction form
    977,982.19/1,496,017.27 = 1,496,017.27/x
  3. Step 3: Cross multiply
    977,982.19x = 1,496,017.27 × 1,496,017.27
  4. Step 4: Simplify right side
    977,982.19x = 2,238,067,659,048.10
  5. Step 5: Solve for x
    x = 2,238,067,659,048.10/977,982.19
  6. Step 6: Final answer
    x = 2,288,454.42

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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.