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Finding the Third Proportional to 581,080 and 1,258,671

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Solution

The third proportional to 581,080 and 1,258,671 is: 2,726,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,080 : 1,258,671 = 1,258,671 : x
  2. Step 2: Convert to fraction form
    581,080/1,258,671 = 1,258,671/x
  3. Step 3: Cross multiply
    581,080x = 1,258,671 × 1,258,671
  4. Step 4: Simplify right side
    581,080x = 1,584,252,686,241
  5. Step 5: Solve for x
    x = 1,584,252,686,241/581,080
  6. Step 6: Final answer
    x = 2,726,393.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.