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Finding the Third Proportional to 3,217,989 and 4,771,323

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Solution

The third proportional to 3,217,989 and 4,771,323 is: 7,074,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217,989 : 4,771,323 = 4,771,323 : x
  2. Step 2: Convert to fraction form
    3,217,989/4,771,323 = 4,771,323/x
  3. Step 3: Cross multiply
    3,217,989x = 4,771,323 × 4,771,323
  4. Step 4: Simplify right side
    3,217,989x = 22,765,523,170,329
  5. Step 5: Solve for x
    x = 22,765,523,170,329/3,217,989
  6. Step 6: Final answer
    x = 7,074,456.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.