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Finding the Third Proportional to 678,024 and 1,461,051

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Solution

The third proportional to 678,024 and 1,461,051 is: 3,148,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,024 : 1,461,051 = 1,461,051 : x
  2. Step 2: Convert to fraction form
    678,024/1,461,051 = 1,461,051/x
  3. Step 3: Cross multiply
    678,024x = 1,461,051 × 1,461,051
  4. Step 4: Simplify right side
    678,024x = 2,134,670,024,601
  5. Step 5: Solve for x
    x = 2,134,670,024,601/678,024
  6. Step 6: Final answer
    x = 3,148,369.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.