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Finding the Third Proportional to 626,529.94 and 1,365,548.63

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Solution

The third proportional to 626,529.94 and 1,365,548.63 is: 2,976,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,529.94 : 1,365,548.63 = 1,365,548.63 : x
  2. Step 2: Convert to fraction form
    626,529.94/1,365,548.63 = 1,365,548.63/x
  3. Step 3: Cross multiply
    626,529.94x = 1,365,548.63 × 1,365,548.63
  4. Step 4: Simplify right side
    626,529.94x = 1,864,723,047,239.39
  5. Step 5: Solve for x
    x = 1,864,723,047,239.39/626,529.94
  6. Step 6: Final answer
    x = 2,976,271.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.