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Finding the Third Proportional to 584,834 and 1,275,436

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Solution

The third proportional to 584,834 and 1,275,436 is: 2,781,536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,834 : 1,275,436 = 1,275,436 : x
  2. Step 2: Convert to fraction form
    584,834/1,275,436 = 1,275,436/x
  3. Step 3: Cross multiply
    584,834x = 1,275,436 × 1,275,436
  4. Step 4: Simplify right side
    584,834x = 1,626,736,990,096
  5. Step 5: Solve for x
    x = 1,626,736,990,096/584,834
  6. Step 6: Final answer
    x = 2,781,536.28

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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.