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Finding the Third Proportional to 714,962 and 1,000,021

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Solution

The third proportional to 714,962 and 1,000,021 is: 1,398,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,962 : 1,000,021 = 1,000,021 : x
  2. Step 2: Convert to fraction form
    714,962/1,000,021 = 1,000,021/x
  3. Step 3: Cross multiply
    714,962x = 1,000,021 × 1,000,021
  4. Step 4: Simplify right side
    714,962x = 1,000,042,000,441
  5. Step 5: Solve for x
    x = 1,000,042,000,441/714,962
  6. Step 6: Final answer
    x = 1,398,734.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.