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Finding the Third Proportional to 549,233 and 1,157,514

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Solution

The third proportional to 549,233 and 1,157,514 is: 2,439,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,233 : 1,157,514 = 1,157,514 : x
  2. Step 2: Convert to fraction form
    549,233/1,157,514 = 1,157,514/x
  3. Step 3: Cross multiply
    549,233x = 1,157,514 × 1,157,514
  4. Step 4: Simplify right side
    549,233x = 1,339,838,660,196
  5. Step 5: Solve for x
    x = 1,339,838,660,196/549,233
  6. Step 6: Final answer
    x = 2,439,472.25

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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.