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Finding the Third Proportional to 714,908 and 1,488,622

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Solution

The third proportional to 714,908 and 1,488,622 is: 3,099,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,908 : 1,488,622 = 1,488,622 : x
  2. Step 2: Convert to fraction form
    714,908/1,488,622 = 1,488,622/x
  3. Step 3: Cross multiply
    714,908x = 1,488,622 × 1,488,622
  4. Step 4: Simplify right side
    714,908x = 2,215,995,458,884
  5. Step 5: Solve for x
    x = 2,215,995,458,884/714,908
  6. Step 6: Final answer
    x = 3,099,693.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.