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Finding the Third Proportional to 590,269 and 1,251,473

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Solution

The third proportional to 590,269 and 1,251,473 is: 2,653,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,269 : 1,251,473 = 1,251,473 : x
  2. Step 2: Convert to fraction form
    590,269/1,251,473 = 1,251,473/x
  3. Step 3: Cross multiply
    590,269x = 1,251,473 × 1,251,473
  4. Step 4: Simplify right side
    590,269x = 1,566,184,669,729
  5. Step 5: Solve for x
    x = 1,566,184,669,729/590,269
  6. Step 6: Final answer
    x = 2,653,340.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.