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Finding the Third Proportional to 894,174 and 1,352,817

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Solution

The third proportional to 894,174 and 1,352,817 is: 2,046,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,174 : 1,352,817 = 1,352,817 : x
  2. Step 2: Convert to fraction form
    894,174/1,352,817 = 1,352,817/x
  3. Step 3: Cross multiply
    894,174x = 1,352,817 × 1,352,817
  4. Step 4: Simplify right side
    894,174x = 1,830,113,835,489
  5. Step 5: Solve for x
    x = 1,830,113,835,489/894,174
  6. Step 6: Final answer
    x = 2,046,708.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.