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Finding the Third Proportional to 584,367 and 1,215,498

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Solution

The third proportional to 584,367 and 1,215,498 is: 2,528,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,367 : 1,215,498 = 1,215,498 : x
  2. Step 2: Convert to fraction form
    584,367/1,215,498 = 1,215,498/x
  3. Step 3: Cross multiply
    584,367x = 1,215,498 × 1,215,498
  4. Step 4: Simplify right side
    584,367x = 1,477,435,388,004
  5. Step 5: Solve for x
    x = 1,477,435,388,004/584,367
  6. Step 6: Final answer
    x = 2,528,266.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.