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Finding the Third Proportional to 1,092,315.38 and 1,695,983.06

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Solution

The third proportional to 1,092,315.38 and 1,695,983.06 is: 2,633,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,315.38 : 1,695,983.06 = 1,695,983.06 : x
  2. Step 2: Convert to fraction form
    1,092,315.38/1,695,983.06 = 1,695,983.06/x
  3. Step 3: Cross multiply
    1,092,315.38x = 1,695,983.06 × 1,695,983.06
  4. Step 4: Simplify right side
    1,092,315.38x = 2,876,358,548,286.88
  5. Step 5: Solve for x
    x = 2,876,358,548,286.88/1,092,315.38
  6. Step 6: Final answer
    x = 2,633,267.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.