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Finding the Third Proportional to 1,780,543.05 and 3,624,011.51

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Solution

The third proportional to 1,780,543.05 and 3,624,011.51 is: 7,376,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,543.05 : 3,624,011.51 = 3,624,011.51 : x
  2. Step 2: Convert to fraction form
    1,780,543.05/3,624,011.51 = 3,624,011.51/x
  3. Step 3: Cross multiply
    1,780,543.05x = 3,624,011.51 × 3,624,011.51
  4. Step 4: Simplify right side
    1,780,543.05x = 13,133,459,408,757.43
  5. Step 5: Solve for x
    x = 13,133,459,408,757.43/1,780,543.05
  6. Step 6: Final answer
    x = 7,376,097.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.