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Finding the Third Proportional to 1,863,658.13 and 4,064,691.38

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Solution

The third proportional to 1,863,658.13 and 4,064,691.38 is: 8,865,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,658.13 : 4,064,691.38 = 4,064,691.38 : x
  2. Step 2: Convert to fraction form
    1,863,658.13/4,064,691.38 = 4,064,691.38/x
  3. Step 3: Cross multiply
    1,863,658.13x = 4,064,691.38 × 4,064,691.38
  4. Step 4: Simplify right side
    1,863,658.13x = 16,521,715,973,999.39
  5. Step 5: Solve for x
    x = 16,521,715,973,999.39/1,863,658.13
  6. Step 6: Final answer
    x = 8,865,207.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.