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Finding the Third Proportional to 739,451 and 1,590,986

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Solution

The third proportional to 739,451 and 1,590,986 is: 3,423,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,451 : 1,590,986 = 1,590,986 : x
  2. Step 2: Convert to fraction form
    739,451/1,590,986 = 1,590,986/x
  3. Step 3: Cross multiply
    739,451x = 1,590,986 × 1,590,986
  4. Step 4: Simplify right side
    739,451x = 2,531,236,452,196
  5. Step 5: Solve for x
    x = 2,531,236,452,196/739,451
  6. Step 6: Final answer
    x = 3,423,129.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.