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Finding the Third Proportional to 581,018.06 and 1,258,512.19

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Solution

The third proportional to 581,018.06 and 1,258,512.19 is: 2,725,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,018.06 : 1,258,512.19 = 1,258,512.19 : x
  2. Step 2: Convert to fraction form
    581,018.06/1,258,512.19 = 1,258,512.19/x
  3. Step 3: Cross multiply
    581,018.06x = 1,258,512.19 × 1,258,512.19
  4. Step 4: Simplify right side
    581,018.06x = 1,583,852,926,086.04
  5. Step 5: Solve for x
    x = 1,583,852,926,086.04/581,018.06
  6. Step 6: Final answer
    x = 2,725,996.02

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