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Finding the Third Proportional to 518,541.75 and 1,109,011.50

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Solution

The third proportional to 518,541.75 and 1,109,011.50 is: 2,371,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,541.75 : 1,109,011.50 = 1,109,011.50 : x
  2. Step 2: Convert to fraction form
    518,541.75/1,109,011.50 = 1,109,011.50/x
  3. Step 3: Cross multiply
    518,541.75x = 1,109,011.50 × 1,109,011.50
  4. Step 4: Simplify right side
    518,541.75x = 1,229,906,507,132.25
  5. Step 5: Solve for x
    x = 1,229,906,507,132.25/518,541.75
  6. Step 6: Final answer
    x = 2,371,856.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.