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Finding the Third Proportional to 1,769,516 and 3,870,196

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Solution

The third proportional to 1,769,516 and 3,870,196 is: 8,464,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,516 : 3,870,196 = 3,870,196 : x
  2. Step 2: Convert to fraction form
    1,769,516/3,870,196 = 3,870,196/x
  3. Step 3: Cross multiply
    1,769,516x = 3,870,196 × 3,870,196
  4. Step 4: Simplify right side
    1,769,516x = 14,978,417,078,416
  5. Step 5: Solve for x
    x = 14,978,417,078,416/1,769,516
  6. Step 6: Final answer
    x = 8,464,697.17

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