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Finding the Third Proportional to 1,732,341 and 3,654,258

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Solution

The third proportional to 1,732,341 and 3,654,258 is: 7,708,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,341 : 3,654,258 = 3,654,258 : x
  2. Step 2: Convert to fraction form
    1,732,341/3,654,258 = 3,654,258/x
  3. Step 3: Cross multiply
    1,732,341x = 3,654,258 × 3,654,258
  4. Step 4: Simplify right side
    1,732,341x = 13,353,601,530,564
  5. Step 5: Solve for x
    x = 13,353,601,530,564/1,732,341
  6. Step 6: Final answer
    x = 7,708,413.95

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.