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Finding the Third Proportional to 560,852 and 847,966

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Solution

The third proportional to 560,852 and 847,966 is: 1,282,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,852 : 847,966 = 847,966 : x
  2. Step 2: Convert to fraction form
    560,852/847,966 = 847,966/x
  3. Step 3: Cross multiply
    560,852x = 847,966 × 847,966
  4. Step 4: Simplify right side
    560,852x = 719,046,337,156
  5. Step 5: Solve for x
    x = 719,046,337,156/560,852
  6. Step 6: Final answer
    x = 1,282,060.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.