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Finding the Third Proportional to 783,730.69 and 1,103,658.33

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Solution

The third proportional to 783,730.69 and 1,103,658.33 is: 1,554,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,730.69 : 1,103,658.33 = 1,103,658.33 : x
  2. Step 2: Convert to fraction form
    783,730.69/1,103,658.33 = 1,103,658.33/x
  3. Step 3: Cross multiply
    783,730.69x = 1,103,658.33 × 1,103,658.33
  4. Step 4: Simplify right side
    783,730.69x = 1,218,061,705,239.67
  5. Step 5: Solve for x
    x = 1,218,061,705,239.67/783,730.69
  6. Step 6: Final answer
    x = 1,554,184.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.