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Finding the Third Proportional to 604,384 and 1,315,525

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Solution

The third proportional to 604,384 and 1,315,525 is: 2,863,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,384 : 1,315,525 = 1,315,525 : x
  2. Step 2: Convert to fraction form
    604,384/1,315,525 = 1,315,525/x
  3. Step 3: Cross multiply
    604,384x = 1,315,525 × 1,315,525
  4. Step 4: Simplify right side
    604,384x = 1,730,606,025,625
  5. Step 5: Solve for x
    x = 1,730,606,025,625/604,384
  6. Step 6: Final answer
    x = 2,863,421.31

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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.