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Finding the Third Proportional to 3,042,420 and 4,704,580

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Solution

The third proportional to 3,042,420 and 4,704,580 is: 7,274,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042,420 : 4,704,580 = 4,704,580 : x
  2. Step 2: Convert to fraction form
    3,042,420/4,704,580 = 4,704,580/x
  3. Step 3: Cross multiply
    3,042,420x = 4,704,580 × 4,704,580
  4. Step 4: Simplify right side
    3,042,420x = 22,133,072,976,400
  5. Step 5: Solve for x
    x = 22,133,072,976,400/3,042,420
  6. Step 6: Final answer
    x = 7,274,824.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.