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Finding the Third Proportional to 581,586 and 1,252,260

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Solution

The third proportional to 581,586 and 1,252,260 is: 2,696,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,586 : 1,252,260 = 1,252,260 : x
  2. Step 2: Convert to fraction form
    581,586/1,252,260 = 1,252,260/x
  3. Step 3: Cross multiply
    581,586x = 1,252,260 × 1,252,260
  4. Step 4: Simplify right side
    581,586x = 1,568,155,107,600
  5. Step 5: Solve for x
    x = 1,568,155,107,600/581,586
  6. Step 6: Final answer
    x = 2,696,342.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.