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Finding the Third Proportional to 714,958 and 1,000,019

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Solution

The third proportional to 714,958 and 1,000,019 is: 1,398,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,958 : 1,000,019 = 1,000,019 : x
  2. Step 2: Convert to fraction form
    714,958/1,000,019 = 1,000,019/x
  3. Step 3: Cross multiply
    714,958x = 1,000,019 × 1,000,019
  4. Step 4: Simplify right side
    714,958x = 1,000,038,000,361
  5. Step 5: Solve for x
    x = 1,000,038,000,361/714,958
  6. Step 6: Final answer
    x = 1,398,736.71

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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.