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Finding the Third Proportional to 510,103.83 and 1,113,461.44

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Solution

The third proportional to 510,103.83 and 1,113,461.44 is: 2,430,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,103.83 : 1,113,461.44 = 1,113,461.44 : x
  2. Step 2: Convert to fraction form
    510,103.83/1,113,461.44 = 1,113,461.44/x
  3. Step 3: Cross multiply
    510,103.83x = 1,113,461.44 × 1,113,461.44
  4. Step 4: Simplify right side
    510,103.83x = 1,239,796,372,799.57
  5. Step 5: Solve for x
    x = 1,239,796,372,799.57/510,103.83
  6. Step 6: Final answer
    x = 2,430,478.47

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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.