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Finding the Third Proportional to 613,463.63 and 1,256,674.50

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Solution

The third proportional to 613,463.63 and 1,256,674.50 is: 2,574,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,463.63 : 1,256,674.50 = 1,256,674.50 : x
  2. Step 2: Convert to fraction form
    613,463.63/1,256,674.50 = 1,256,674.50/x
  3. Step 3: Cross multiply
    613,463.63x = 1,256,674.50 × 1,256,674.50
  4. Step 4: Simplify right side
    613,463.63x = 1,579,230,798,950.25
  5. Step 5: Solve for x
    x = 1,579,230,798,950.25/613,463.63
  6. Step 6: Final answer
    x = 2,574,285.96

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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.