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Finding the Third Proportional to 1,782,415 and 3,711,708

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Solution

The third proportional to 1,782,415 and 3,711,708 is: 7,729,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,415 : 3,711,708 = 3,711,708 : x
  2. Step 2: Convert to fraction form
    1,782,415/3,711,708 = 3,711,708/x
  3. Step 3: Cross multiply
    1,782,415x = 3,711,708 × 3,711,708
  4. Step 4: Simplify right side
    1,782,415x = 13,776,776,277,264
  5. Step 5: Solve for x
    x = 13,776,776,277,264/1,782,415
  6. Step 6: Final answer
    x = 7,729,275.32

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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.