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Finding the Third Proportional to 1,302,687 and 2,828,187

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Solution

The third proportional to 1,302,687 and 2,828,187 is: 6,140,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,687 : 2,828,187 = 2,828,187 : x
  2. Step 2: Convert to fraction form
    1,302,687/2,828,187 = 2,828,187/x
  3. Step 3: Cross multiply
    1,302,687x = 2,828,187 × 2,828,187
  4. Step 4: Simplify right side
    1,302,687x = 7,998,641,706,969
  5. Step 5: Solve for x
    x = 7,998,641,706,969/1,302,687
  6. Step 6: Final answer
    x = 6,140,110.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.