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Finding the Third Proportional to 590,467 and 1,240,421

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Solution

The third proportional to 590,467 and 1,240,421 is: 2,605,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,467 : 1,240,421 = 1,240,421 : x
  2. Step 2: Convert to fraction form
    590,467/1,240,421 = 1,240,421/x
  3. Step 3: Cross multiply
    590,467x = 1,240,421 × 1,240,421
  4. Step 4: Simplify right side
    590,467x = 1,538,644,257,241
  5. Step 5: Solve for x
    x = 1,538,644,257,241/590,467
  6. Step 6: Final answer
    x = 2,605,809.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.