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Finding the Third Proportional to 997,025 and 2,174,503

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Solution

The third proportional to 997,025 and 2,174,503 is: 4,742,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,025 : 2,174,503 = 2,174,503 : x
  2. Step 2: Convert to fraction form
    997,025/2,174,503 = 2,174,503/x
  3. Step 3: Cross multiply
    997,025x = 2,174,503 × 2,174,503
  4. Step 4: Simplify right side
    997,025x = 4,728,463,297,009
  5. Step 5: Solve for x
    x = 4,728,463,297,009/997,025
  6. Step 6: Final answer
    x = 4,742,572.45

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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.