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Finding the Third Proportional to 549,585 and 1,193,169

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Solution

The third proportional to 549,585 and 1,193,169 is: 2,590,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,585 : 1,193,169 = 1,193,169 : x
  2. Step 2: Convert to fraction form
    549,585/1,193,169 = 1,193,169/x
  3. Step 3: Cross multiply
    549,585x = 1,193,169 × 1,193,169
  4. Step 4: Simplify right side
    549,585x = 1,423,652,262,561
  5. Step 5: Solve for x
    x = 1,423,652,262,561/549,585
  6. Step 6: Final answer
    x = 2,590,413.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.