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Finding the Third Proportional to 590,408.84 and 1,287,651.78

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Solution

The third proportional to 590,408.84 and 1,287,651.78 is: 2,808,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,408.84 : 1,287,651.78 = 1,287,651.78 : x
  2. Step 2: Convert to fraction form
    590,408.84/1,287,651.78 = 1,287,651.78/x
  3. Step 3: Cross multiply
    590,408.84x = 1,287,651.78 × 1,287,651.78
  4. Step 4: Simplify right side
    590,408.84x = 1,658,047,104,726.47
  5. Step 5: Solve for x
    x = 1,658,047,104,726.47/590,408.84
  6. Step 6: Final answer
    x = 2,808,303.31

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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.