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Finding the Third Proportional to 835,208.44 and 1,302,726.38

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Solution

The third proportional to 835,208.44 and 1,302,726.38 is: 2,031,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,208.44 : 1,302,726.38 = 1,302,726.38 : x
  2. Step 2: Convert to fraction form
    835,208.44/1,302,726.38 = 1,302,726.38/x
  3. Step 3: Cross multiply
    835,208.44x = 1,302,726.38 × 1,302,726.38
  4. Step 4: Simplify right side
    835,208.44x = 1,697,096,008,120.64
  5. Step 5: Solve for x
    x = 1,697,096,008,120.64/835,208.44
  6. Step 6: Final answer
    x = 2,031,943.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.