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Finding the Third Proportional to 846,381.66 and 1,830,813.89

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Solution

The third proportional to 846,381.66 and 1,830,813.89 is: 3,960,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,381.66 : 1,830,813.89 = 1,830,813.89 : x
  2. Step 2: Convert to fraction form
    846,381.66/1,830,813.89 = 1,830,813.89/x
  3. Step 3: Cross multiply
    846,381.66x = 1,830,813.89 × 1,830,813.89
  4. Step 4: Simplify right side
    846,381.66x = 3,351,879,502,105.45
  5. Step 5: Solve for x
    x = 3,351,879,502,105.45/846,381.66
  6. Step 6: Final answer
    x = 3,960,245.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.