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Finding the Third Proportional to 893,234 and 1,340,013

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Solution

The third proportional to 893,234 and 1,340,013 is: 2,010,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,234 : 1,340,013 = 1,340,013 : x
  2. Step 2: Convert to fraction form
    893,234/1,340,013 = 1,340,013/x
  3. Step 3: Cross multiply
    893,234x = 1,340,013 × 1,340,013
  4. Step 4: Simplify right side
    893,234x = 1,795,634,840,169
  5. Step 5: Solve for x
    x = 1,795,634,840,169/893,234
  6. Step 6: Final answer
    x = 2,010,262.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.