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Finding the Third Proportional to 974,678 and 1,462,018

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Solution

The third proportional to 974,678 and 1,462,018 is: 2,193,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,678 : 1,462,018 = 1,462,018 : x
  2. Step 2: Convert to fraction form
    974,678/1,462,018 = 1,462,018/x
  3. Step 3: Cross multiply
    974,678x = 1,462,018 × 1,462,018
  4. Step 4: Simplify right side
    974,678x = 2,137,496,632,324
  5. Step 5: Solve for x
    x = 2,137,496,632,324/974,678
  6. Step 6: Final answer
    x = 2,193,028.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.