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Finding the Third Proportional to 623,872.13 and 1,277,245.97

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Solution

The third proportional to 623,872.13 and 1,277,245.97 is: 2,614,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,872.13 : 1,277,245.97 = 1,277,245.97 : x
  2. Step 2: Convert to fraction form
    623,872.13/1,277,245.97 = 1,277,245.97/x
  3. Step 3: Cross multiply
    623,872.13x = 1,277,245.97 × 1,277,245.97
  4. Step 4: Simplify right side
    623,872.13x = 1,631,357,264,688.13
  5. Step 5: Solve for x
    x = 1,631,357,264,688.13/623,872.13
  6. Step 6: Final answer
    x = 2,614,890.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.