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Finding the Third Proportional to 549,609.50 and 1,211,034

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Solution

The third proportional to 549,609.50 and 1,211,034 is: 2,668,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,609.50 : 1,211,034 = 1,211,034 : x
  2. Step 2: Convert to fraction form
    549,609.50/1,211,034 = 1,211,034/x
  3. Step 3: Cross multiply
    549,609.50x = 1,211,034 × 1,211,034
  4. Step 4: Simplify right side
    549,609.50x = 1,466,603,349,156
  5. Step 5: Solve for x
    x = 1,466,603,349,156/549,609.50
  6. Step 6: Final answer
    x = 2,668,446.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.