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Finding the Third Proportional to 1,745,010 and 3,691,214

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Solution

The third proportional to 1,745,010 and 3,691,214 is: 7,808,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,010 : 3,691,214 = 3,691,214 : x
  2. Step 2: Convert to fraction form
    1,745,010/3,691,214 = 3,691,214/x
  3. Step 3: Cross multiply
    1,745,010x = 3,691,214 × 3,691,214
  4. Step 4: Simplify right side
    1,745,010x = 13,625,060,793,796
  5. Step 5: Solve for x
    x = 13,625,060,793,796/1,745,010
  6. Step 6: Final answer
    x = 7,808,013.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.