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Finding the Third Proportional to 610,432 and 929,852

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Solution

The third proportional to 610,432 and 929,852 is: 1,416,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,432 : 929,852 = 929,852 : x
  2. Step 2: Convert to fraction form
    610,432/929,852 = 929,852/x
  3. Step 3: Cross multiply
    610,432x = 929,852 × 929,852
  4. Step 4: Simplify right side
    610,432x = 864,624,741,904
  5. Step 5: Solve for x
    x = 864,624,741,904/610,432
  6. Step 6: Final answer
    x = 1,416,414.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.