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Finding the Third Proportional to 706,966 and 1,070,745

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Solution

The third proportional to 706,966 and 1,070,745 is: 1,621,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,966 : 1,070,745 = 1,070,745 : x
  2. Step 2: Convert to fraction form
    706,966/1,070,745 = 1,070,745/x
  3. Step 3: Cross multiply
    706,966x = 1,070,745 × 1,070,745
  4. Step 4: Simplify right side
    706,966x = 1,146,494,855,025
  5. Step 5: Solve for x
    x = 1,146,494,855,025/706,966
  6. Step 6: Final answer
    x = 1,621,711.45

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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.