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Finding the Third Proportional to 974,378 and 2,125,819

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Solution

The third proportional to 974,378 and 2,125,819 is: 4,637,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,378 : 2,125,819 = 2,125,819 : x
  2. Step 2: Convert to fraction form
    974,378/2,125,819 = 2,125,819/x
  3. Step 3: Cross multiply
    974,378x = 2,125,819 × 2,125,819
  4. Step 4: Simplify right side
    974,378x = 4,519,106,420,761
  5. Step 5: Solve for x
    x = 4,519,106,420,761/974,378
  6. Step 6: Final answer
    x = 4,637,939.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.