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Finding the Third Proportional to 674,040 and 1,466,178

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Solution

The third proportional to 674,040 and 1,466,178 is: 3,189,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,040 : 1,466,178 = 1,466,178 : x
  2. Step 2: Convert to fraction form
    674,040/1,466,178 = 1,466,178/x
  3. Step 3: Cross multiply
    674,040x = 1,466,178 × 1,466,178
  4. Step 4: Simplify right side
    674,040x = 2,149,677,927,684
  5. Step 5: Solve for x
    x = 2,149,677,927,684/674,040
  6. Step 6: Final answer
    x = 3,189,243.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.