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Finding the Third Proportional to 974,373 and 2,125,809

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Solution

The third proportional to 974,373 and 2,125,809 is: 4,637,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,373 : 2,125,809 = 2,125,809 : x
  2. Step 2: Convert to fraction form
    974,373/2,125,809 = 2,125,809/x
  3. Step 3: Cross multiply
    974,373x = 2,125,809 × 2,125,809
  4. Step 4: Simplify right side
    974,373x = 4,519,063,904,481
  5. Step 5: Solve for x
    x = 4,519,063,904,481/974,373
  6. Step 6: Final answer
    x = 4,637,919.88

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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.