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Finding the Third Proportional to 842,106 and 1,841,703

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Solution

The third proportional to 842,106 and 1,841,703 is: 4,027,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,106 : 1,841,703 = 1,841,703 : x
  2. Step 2: Convert to fraction form
    842,106/1,841,703 = 1,841,703/x
  3. Step 3: Cross multiply
    842,106x = 1,841,703 × 1,841,703
  4. Step 4: Simplify right side
    842,106x = 3,391,869,940,209
  5. Step 5: Solve for x
    x = 3,391,869,940,209/842,106
  6. Step 6: Final answer
    x = 4,027,842.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.