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Finding the Third Proportional to 974,384 and 2,125,832

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Solution

The third proportional to 974,384 and 2,125,832 is: 4,637,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,384 : 2,125,832 = 2,125,832 : x
  2. Step 2: Convert to fraction form
    974,384/2,125,832 = 2,125,832/x
  3. Step 3: Cross multiply
    974,384x = 2,125,832 × 2,125,832
  4. Step 4: Simplify right side
    974,384x = 4,519,161,692,224
  5. Step 5: Solve for x
    x = 4,519,161,692,224/974,384
  6. Step 6: Final answer
    x = 4,637,967.88

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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.