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Finding the Third Proportional to 581,010 and 1,258,532

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Solution

The third proportional to 581,010 and 1,258,532 is: 2,726,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,010 : 1,258,532 = 1,258,532 : x
  2. Step 2: Convert to fraction form
    581,010/1,258,532 = 1,258,532/x
  3. Step 3: Cross multiply
    581,010x = 1,258,532 × 1,258,532
  4. Step 4: Simplify right side
    581,010x = 1,583,902,795,024
  5. Step 5: Solve for x
    x = 1,583,902,795,024/581,010
  6. Step 6: Final answer
    x = 2,726,119.68

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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.