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Finding the Third Proportional to 549,202 and 1,196,000

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Solution

The third proportional to 549,202 and 1,196,000 is: 2,604,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,202 : 1,196,000 = 1,196,000 : x
  2. Step 2: Convert to fraction form
    549,202/1,196,000 = 1,196,000/x
  3. Step 3: Cross multiply
    549,202x = 1,196,000 × 1,196,000
  4. Step 4: Simplify right side
    549,202x = 1,430,416,000,000
  5. Step 5: Solve for x
    x = 1,430,416,000,000/549,202
  6. Step 6: Final answer
    x = 2,604,535.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.