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Finding the Third Proportional to 445,828 and 974,600

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Solution

The third proportional to 445,828 and 974,600 is: 2,130,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,828 : 974,600 = 974,600 : x
  2. Step 2: Convert to fraction form
    445,828/974,600 = 974,600/x
  3. Step 3: Cross multiply
    445,828x = 974,600 × 974,600
  4. Step 4: Simplify right side
    445,828x = 949,845,160,000
  5. Step 5: Solve for x
    x = 949,845,160,000/445,828
  6. Step 6: Final answer
    x = 2,130,519.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.