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Finding the Third Proportional to 518,748 and 1,099,055

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Solution

The third proportional to 518,748 and 1,099,055 is: 2,328,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,748 : 1,099,055 = 1,099,055 : x
  2. Step 2: Convert to fraction form
    518,748/1,099,055 = 1,099,055/x
  3. Step 3: Cross multiply
    518,748x = 1,099,055 × 1,099,055
  4. Step 4: Simplify right side
    518,748x = 1,207,921,893,025
  5. Step 5: Solve for x
    x = 1,207,921,893,025/518,748
  6. Step 6: Final answer
    x = 2,328,533.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.