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Finding the Third Proportional to 1,782,420 and 3,711,720

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Solution

The third proportional to 1,782,420 and 3,711,720 is: 7,729,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,420 : 3,711,720 = 3,711,720 : x
  2. Step 2: Convert to fraction form
    1,782,420/3,711,720 = 3,711,720/x
  3. Step 3: Cross multiply
    1,782,420x = 3,711,720 × 3,711,720
  4. Step 4: Simplify right side
    1,782,420x = 13,776,865,358,400
  5. Step 5: Solve for x
    x = 13,776,865,358,400/1,782,420
  6. Step 6: Final answer
    x = 7,729,303.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.