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Finding the Third Proportional to 909,298.41 and 1,515,434.06

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Solution

The third proportional to 909,298.41 and 1,515,434.06 is: 2,525,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,298.41 : 1,515,434.06 = 1,515,434.06 : x
  2. Step 2: Convert to fraction form
    909,298.41/1,515,434.06 = 1,515,434.06/x
  3. Step 3: Cross multiply
    909,298.41x = 1,515,434.06 × 1,515,434.06
  4. Step 4: Simplify right side
    909,298.41x = 2,296,540,397,785.25
  5. Step 5: Solve for x
    x = 2,296,540,397,785.25/909,298.41
  6. Step 6: Final answer
    x = 2,525,617.97

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.