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Finding the Third Proportional to 590,808 and 1,288,548

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Solution

The third proportional to 590,808 and 1,288,548 is: 2,810,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,808 : 1,288,548 = 1,288,548 : x
  2. Step 2: Convert to fraction form
    590,808/1,288,548 = 1,288,548/x
  3. Step 3: Cross multiply
    590,808x = 1,288,548 × 1,288,548
  4. Step 4: Simplify right side
    590,808x = 1,660,355,948,304
  5. Step 5: Solve for x
    x = 1,660,355,948,304/590,808
  6. Step 6: Final answer
    x = 2,810,313.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.