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Finding the Third Proportional to 1,782,424 and 3,711,724

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Solution

The third proportional to 1,782,424 and 3,711,724 is: 7,729,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,424 : 3,711,724 = 3,711,724 : x
  2. Step 2: Convert to fraction form
    1,782,424/3,711,724 = 3,711,724/x
  3. Step 3: Cross multiply
    1,782,424x = 3,711,724 × 3,711,724
  4. Step 4: Simplify right side
    1,782,424x = 13,776,895,052,176
  5. Step 5: Solve for x
    x = 13,776,895,052,176/1,782,424
  6. Step 6: Final answer
    x = 7,729,302.93

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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.