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Finding the Third Proportional to 510,099.75 and 1,113,679.13

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Solution

The third proportional to 510,099.75 and 1,113,679.13 is: 2,431,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,099.75 : 1,113,679.13 = 1,113,679.13 : x
  2. Step 2: Convert to fraction form
    510,099.75/1,113,679.13 = 1,113,679.13/x
  3. Step 3: Cross multiply
    510,099.75x = 1,113,679.13 × 1,113,679.13
  4. Step 4: Simplify right side
    510,099.75x = 1,240,281,193,460.77
  5. Step 5: Solve for x
    x = 1,240,281,193,460.77/510,099.75
  6. Step 6: Final answer
    x = 2,431,448.35

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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.