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Finding the Third Proportional to 549,608 and 1,171,216

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Solution

The third proportional to 549,608 and 1,171,216 is: 2,495,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,608 : 1,171,216 = 1,171,216 : x
  2. Step 2: Convert to fraction form
    549,608/1,171,216 = 1,171,216/x
  3. Step 3: Cross multiply
    549,608x = 1,171,216 × 1,171,216
  4. Step 4: Simplify right side
    549,608x = 1,371,746,918,656
  5. Step 5: Solve for x
    x = 1,371,746,918,656/549,608
  6. Step 6: Final answer
    x = 2,495,864.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.