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Finding the Third Proportional to 3,064,023 and 4,294,170

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Solution

The third proportional to 3,064,023 and 4,294,170 is: 6,018,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064,023 : 4,294,170 = 4,294,170 : x
  2. Step 2: Convert to fraction form
    3,064,023/4,294,170 = 4,294,170/x
  3. Step 3: Cross multiply
    3,064,023x = 4,294,170 × 4,294,170
  4. Step 4: Simplify right side
    3,064,023x = 18,439,895,988,900
  5. Step 5: Solve for x
    x = 18,439,895,988,900/3,064,023
  6. Step 6: Final answer
    x = 6,018,197.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.