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Finding the Third Proportional to 1,733,299 and 3,864,905

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Solution

The third proportional to 1,733,299 and 3,864,905 is: 8,617,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,299 : 3,864,905 = 3,864,905 : x
  2. Step 2: Convert to fraction form
    1,733,299/3,864,905 = 3,864,905/x
  3. Step 3: Cross multiply
    1,733,299x = 3,864,905 × 3,864,905
  4. Step 4: Simplify right side
    1,733,299x = 14,937,490,659,025
  5. Step 5: Solve for x
    x = 14,937,490,659,025/1,733,299
  6. Step 6: Final answer
    x = 8,617,953.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.