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Finding the Third Proportional to 549,776 and 1,166,944

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Solution

The third proportional to 549,776 and 1,166,944 is: 2,476,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,776 : 1,166,944 = 1,166,944 : x
  2. Step 2: Convert to fraction form
    549,776/1,166,944 = 1,166,944/x
  3. Step 3: Cross multiply
    549,776x = 1,166,944 × 1,166,944
  4. Step 4: Simplify right side
    549,776x = 1,361,758,299,136
  5. Step 5: Solve for x
    x = 1,361,758,299,136/549,776
  6. Step 6: Final answer
    x = 2,476,932.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.