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Finding the Third Proportional to 864,968.63 and 1,331,317.27

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Solution

The third proportional to 864,968.63 and 1,331,317.27 is: 2,049,098.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,968.63 : 1,331,317.27 = 1,331,317.27 : x
  2. Step 2: Convert to fraction form
    864,968.63/1,331,317.27 = 1,331,317.27/x
  3. Step 3: Cross multiply
    864,968.63x = 1,331,317.27 × 1,331,317.27
  4. Step 4: Simplify right side
    864,968.63x = 1,772,405,661,751.23
  5. Step 5: Solve for x
    x = 1,772,405,661,751.23/864,968.63
  6. Step 6: Final answer
    x = 2,049,098.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.