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Finding the Third Proportional to 703,818 and 1,507,266

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Solution

The third proportional to 703,818 and 1,507,266 is: 3,227,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,818 : 1,507,266 = 1,507,266 : x
  2. Step 2: Convert to fraction form
    703,818/1,507,266 = 1,507,266/x
  3. Step 3: Cross multiply
    703,818x = 1,507,266 × 1,507,266
  4. Step 4: Simplify right side
    703,818x = 2,271,850,794,756
  5. Step 5: Solve for x
    x = 2,271,850,794,756/703,818
  6. Step 6: Final answer
    x = 3,227,895.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.