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Finding the Third Proportional to 1,782,426 and 3,711,723

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Solution

The third proportional to 1,782,426 and 3,711,723 is: 7,729,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,426 : 3,711,723 = 3,711,723 : x
  2. Step 2: Convert to fraction form
    1,782,426/3,711,723 = 3,711,723/x
  3. Step 3: Cross multiply
    1,782,426x = 3,711,723 × 3,711,723
  4. Step 4: Simplify right side
    1,782,426x = 13,776,887,628,729
  5. Step 5: Solve for x
    x = 13,776,887,628,729/1,782,426
  6. Step 6: Final answer
    x = 7,729,290.10

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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.