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Finding the Third Proportional to 549,587 and 1,158,214

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Solution

The third proportional to 549,587 and 1,158,214 is: 2,440,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,587 : 1,158,214 = 1,158,214 : x
  2. Step 2: Convert to fraction form
    549,587/1,158,214 = 1,158,214/x
  3. Step 3: Cross multiply
    549,587x = 1,158,214 × 1,158,214
  4. Step 4: Simplify right side
    549,587x = 1,341,459,669,796
  5. Step 5: Solve for x
    x = 1,341,459,669,796/549,587
  6. Step 6: Final answer
    x = 2,440,850.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.