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Finding the Third Proportional to 977,965.50 and 1,496,007

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Solution

The third proportional to 977,965.50 and 1,496,007 is: 2,288,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,965.50 : 1,496,007 = 1,496,007 : x
  2. Step 2: Convert to fraction form
    977,965.50/1,496,007 = 1,496,007/x
  3. Step 3: Cross multiply
    977,965.50x = 1,496,007 × 1,496,007
  4. Step 4: Simplify right side
    977,965.50x = 2,238,036,944,049
  5. Step 5: Solve for x
    x = 2,238,036,944,049/977,965.50
  6. Step 6: Final answer
    x = 2,288,462.06

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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.