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Finding the Third Proportional to 903,109.50 and 1,238,385.38

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Solution

The third proportional to 903,109.50 and 1,238,385.38 is: 1,698,131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,109.50 : 1,238,385.38 = 1,238,385.38 : x
  2. Step 2: Convert to fraction form
    903,109.50/1,238,385.38 = 1,238,385.38/x
  3. Step 3: Cross multiply
    903,109.50x = 1,238,385.38 × 1,238,385.38
  4. Step 4: Simplify right side
    903,109.50x = 1,533,598,337,013.89
  5. Step 5: Solve for x
    x = 1,533,598,337,013.89/903,109.50
  6. Step 6: Final answer
    x = 1,698,131.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.