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Finding the Third Proportional to 928,828.69 and 1,307,994.75

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Solution

The third proportional to 928,828.69 and 1,307,994.75 is: 1,841,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,828.69 : 1,307,994.75 = 1,307,994.75 : x
  2. Step 2: Convert to fraction form
    928,828.69/1,307,994.75 = 1,307,994.75/x
  3. Step 3: Cross multiply
    928,828.69x = 1,307,994.75 × 1,307,994.75
  4. Step 4: Simplify right side
    928,828.69x = 1,710,850,266,027.56
  5. Step 5: Solve for x
    x = 1,710,850,266,027.56/928,828.69
  6. Step 6: Final answer
    x = 1,841,943.83

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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.