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Finding the Third Proportional to 846,379.13 and 1,312,012.69

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Solution

The third proportional to 846,379.13 and 1,312,012.69 is: 2,033,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,379.13 : 1,312,012.69 = 1,312,012.69 : x
  2. Step 2: Convert to fraction form
    846,379.13/1,312,012.69 = 1,312,012.69/x
  3. Step 3: Cross multiply
    846,379.13x = 1,312,012.69 × 1,312,012.69
  4. Step 4: Simplify right side
    846,379.13x = 1,721,377,292,160.97
  5. Step 5: Solve for x
    x = 1,721,377,292,160.97/846,379.13
  6. Step 6: Final answer
    x = 2,033,813.50

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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.