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Finding the Third Proportional to 931,668.75 and 1,311,643.13

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Solution

The third proportional to 931,668.75 and 1,311,643.13 is: 1,846,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,668.75 : 1,311,643.13 = 1,311,643.13 : x
  2. Step 2: Convert to fraction form
    931,668.75/1,311,643.13 = 1,311,643.13/x
  3. Step 3: Cross multiply
    931,668.75x = 1,311,643.13 × 1,311,643.13
  4. Step 4: Simplify right side
    931,668.75x = 1,720,407,687,359.77
  5. Step 5: Solve for x
    x = 1,720,407,687,359.77/931,668.75
  6. Step 6: Final answer
    x = 1,846,587.31

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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.