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Finding the Third Proportional to 549,591 and 1,158,222

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Solution

The third proportional to 549,591 and 1,158,222 is: 2,440,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,591 : 1,158,222 = 1,158,222 : x
  2. Step 2: Convert to fraction form
    549,591/1,158,222 = 1,158,222/x
  3. Step 3: Cross multiply
    549,591x = 1,158,222 × 1,158,222
  4. Step 4: Simplify right side
    549,591x = 1,341,478,201,284
  5. Step 5: Solve for x
    x = 1,341,478,201,284/549,591
  6. Step 6: Final answer
    x = 2,440,866.39

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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.