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Finding the Third Proportional to 1,733,288.63 and 3,864,884.63

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Solution

The third proportional to 1,733,288.63 and 3,864,884.63 is: 8,617,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,288.63 : 3,864,884.63 = 3,864,884.63 : x
  2. Step 2: Convert to fraction form
    1,733,288.63/3,864,884.63 = 3,864,884.63/x
  3. Step 3: Cross multiply
    1,733,288.63x = 3,864,884.63 × 3,864,884.63
  4. Step 4: Simplify right side
    1,733,288.63x = 14,937,333,164,561.39
  5. Step 5: Solve for x
    x = 14,937,333,164,561.39/1,733,288.63
  6. Step 6: Final answer
    x = 8,617,914.49

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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.