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Finding the Third Proportional to 1,881,012.80 and 2,882,239.45

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Solution

The third proportional to 1,881,012.80 and 2,882,239.45 is: 4,416,399.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881,012.80 : 2,882,239.45 = 2,882,239.45 : x
  2. Step 2: Convert to fraction form
    1,881,012.80/2,882,239.45 = 2,882,239.45/x
  3. Step 3: Cross multiply
    1,881,012.80x = 2,882,239.45 × 2,882,239.45
  4. Step 4: Simplify right side
    1,881,012.80x = 8,307,304,265,150.30
  5. Step 5: Solve for x
    x = 8,307,304,265,150.30/1,881,012.80
  6. Step 6: Final answer
    x = 4,416,399.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.