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Finding the Third Proportional to 584,836 and 1,215,624

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Solution

The third proportional to 584,836 and 1,215,624 is: 2,526,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,836 : 1,215,624 = 1,215,624 : x
  2. Step 2: Convert to fraction form
    584,836/1,215,624 = 1,215,624/x
  3. Step 3: Cross multiply
    584,836x = 1,215,624 × 1,215,624
  4. Step 4: Simplify right side
    584,836x = 1,477,741,709,376
  5. Step 5: Solve for x
    x = 1,477,741,709,376/584,836
  6. Step 6: Final answer
    x = 2,526,762.56

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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.