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Finding the Third Proportional to 581,084 and 1,265,098

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Solution

The third proportional to 581,084 and 1,265,098 is: 2,754,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,084 : 1,265,098 = 1,265,098 : x
  2. Step 2: Convert to fraction form
    581,084/1,265,098 = 1,265,098/x
  3. Step 3: Cross multiply
    581,084x = 1,265,098 × 1,265,098
  4. Step 4: Simplify right side
    581,084x = 1,600,472,949,604
  5. Step 5: Solve for x
    x = 1,600,472,949,604/581,084
  6. Step 6: Final answer
    x = 2,754,288.45

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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.