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Finding the Third Proportional to 1,724,128 and 3,746,696

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Solution

The third proportional to 1,724,128 and 3,746,696 is: 8,141,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,128 : 3,746,696 = 3,746,696 : x
  2. Step 2: Convert to fraction form
    1,724,128/3,746,696 = 3,746,696/x
  3. Step 3: Cross multiply
    1,724,128x = 3,746,696 × 3,746,696
  4. Step 4: Simplify right side
    1,724,128x = 14,037,730,916,416
  5. Step 5: Solve for x
    x = 14,037,730,916,416/1,724,128
  6. Step 6: Final answer
    x = 8,141,930.83

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